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L. van Wyk, “Maximal left ideals in structural matrix rings”,Communications in Algebra 16 (1988), 399-419. MR0929125
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L. van Wyk, “Special radicals in structural matrix rings”, Communications in Algebra 16 (1988), 421-435. MR0929126
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L. van Wyk, “Prime and special ideals in structural matrix rings over a ring without unity”, Journal of the Australian Mathematical Society (Series A) 45 (1988), 220-226. MR0951581
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A.P.J. van der Walt and L. van Wyk, “The \(J_2\)-radical in structural matrix near-rings”, Journal of Algebra 123 (1989), 248-261. MR1000487
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B.W. Green and L. van Wyk, “On the small and essential ideals in certain classes of rings”, Journal of the Australian Mathematical Society (Series A) 46 (1989), 262-271. MR0973319
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Y. Fong and L. van Wyk, “A note on semi-homomorphisms of rings”, Bulletin of the Australian Mathematical Society 40 (1989), 481-486. MR1037645
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L. van Wyk, “On structural quasi-ideals and their idealizers in structural matrix rings”, Quaestiones Mathematicae 12 (1989), 187-200. MR0998748
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C.J. Maxson and L. van Wyk, “Near-rings of invariants”, Results in Mathematics 18 (1990), 286-297. MR1078425
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L. van Wyk, “The 2-primitive ideals of structural matrix near-rings”, Proceedings of the Edinburgh Mathematical Society 34 (1991), 229–239. MR111564
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C.J. Maxson and L. van Wyk, “The lattice of ideals of M_R(R^2), R a commutative PIR”, Journal of the Australian Mathematical Society (Series A) 52 (1992), 368-382. MR115129
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L. van Wyk, “Idealizers in structural matrix rings”, Mathematica Japonica 37 (1992), 449-456. MR1162453
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Y. Fong and L. van Wyk, “Semi-homomorphisms of near-rings”, Mathematica Pannonica 3 (1992), 3-17. MR1170534
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K.C. Smith and L. van Wyk, “Semi-endomorphisms of simple near-rings”, Proceedings of the American Mathematical Society 115 (1992), 613-627. MR1081701
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L. van Wyk, “The J_2-radical in structural matrix near-rings, II”, Proceedings of the Royal Society of Edinburgh Series A (Mathematics) 122 (1992), 53-61. MR1190230
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P.R. Fuchs and L. van Wyk, “On subrings of simple artinian rings”, Results in Mathematics 24 (1993), 49-65. MR1229058
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N.J. Groenewald and L. van Wyk, “Polynomial regularities in structural matrix rings”, Communications in Algebra 22 (1994), 2101-2123. MR1268546
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K.C. Smith and L. van Wyk, “An internal characterisation of structural matrix rings”, Communications in Algebra 22 (1994), 5599-5622. MR1298737
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S. Dascalescu and L. van Wyk, “A note on intermediate normalising extensions”, Bulletin of the Australian Mathematical Society 50 (1994), 313–316. MR1296758
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N.J. Groenewald and L. van Wyk, “A link between two characterizations of complete matrix rings”, Bulletin of the Australian Mathematical Society 51 (1995), 511–515. MR1331445
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L. van Wyk, “Matrix rings of invariant subspaces”, Quaestiones Mathematicae 18 (1995), 501-515. MR1354126
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L. van Wyk, “The comatched near-ring determined by a commutative principal ideal ring”, Proceedings of the Royal Irish Academy 95A (1995), 117-135. MR1660372
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S. Dascalescu and L. van Wyk, “Do isomorphic structural matrix rings have isomorphic graphs?”, Proceedings of the American Mathematical Society 124 (1996), 1385-1391. MR1307508
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L. van Wyk, “Matrix rings satisfying column sum conditions versus structural matrix rings”, Linear Algebra and its Applications 249 (1996), 15–28. MR147406
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J.H. Meyer and L. van Wyk, “Matrix rings of invariant subspaces, II”, Chinese Journal of Mathematics 24 (1996), 251-264. MR1408787
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L. van Wyk, “On a characterization of complete matrix rings”, Periodica Mathematica Hungarica 32 (1996), 237-239. MR1407925
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K.C. Smith and L. van Wyk, “When is a centralizer near-ring isomorphic to a matrix near-ring?”, Communications in Algebra 24 (1996), 4549-4562. MR1421204
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K.C. Smith and L. van Wyk, “On finite abelian centralizer near-rings and the matrix rings associated with them”, Proceedings of the Royal Irish Academy 97A (1997), 175-192. MR1645299
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L. van Wyk, “Good ideals in blocked triangular matrix rings over division rings”, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae (Sectio Mathematica) 40 (1997), 75-83. MR1632809
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K.C. Smith and L. van Wyk, “Generalized blocked triangular matrix rings associated with finite abelian centralizer near-rings”, Proceedings of the Edinburgh Mathematical Society 41 (1998), 177-195. MR1604329
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K.C. Smith and L. van Wyk, “Solution of the J_2-radical problem in structural matrix near-rings”, Proceedings of the Royal Society of Edinburgh 128A (1998), 137–145. MR1606361
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S. Dascalescu and L. van Wyk, “Complete blocked triangular matrix rings over a Noetherian ring”, Journal of Pure and Applied Algebra 133 (1998), 65–68. MR1653696
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A.V. Kelarev, A.B. van der Merwe and L. van Wyk, “The minimum number of idempotent generators of an upper triangular matrix algebra”, Journal of Algebra 205 (1998), 605–616. MR1632761
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L. van Wyk, “A link between a centralizer and the smallest essential ideal in structural matrix rings”, Communications in Algebra 27 (1999), 3675-3683. MR1699641
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N.J. Groenewald and L. van Wyk, “Good ideals in matrix rings over commutative PIR’s”, Quaestiones Mathematicae 22 (1999), 391-403. MR1775498
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A.B. van der Merwe and L. van Wyk, The minimum number of idempotent generators of a complete blocked triangular matrix algebra”, Journal of Algebra 222 (1999), 190-203. MR1728162
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K.C. Smith and L. van Wyk, “Matrix near-rings over centralizer near-rings”, Algebra Colloquium 7 (2000), 5-16. MR1810591
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S. Dascalescu and L. van Wyk, “The recovery of the non-diagonal tile in a tiled triangular matrix ring”, Indian Journal of Mathematics 42 (2000), 167-173. MR1859053
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A. Oswald, K.C. Smith and L. van Wyk, “When is a centralizer near-ring isomorphic to a matrix near-ring? Part 2”, in Y.Fong et al (eds.), Near-Rings and Near-Fields, Kluwer Academic Publishers, 2001, (Proceedings of the International Conference on Near-rings and Near-fields, Stellenbosch, July 1997), 138-150. MR1905613
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S. Dascalescu, A. V. Kelarev, and L. van Wyk, “Semigroup gradings of full matrix rings”, Communications in Algebra 29 (2001), 5023-5031. MR1856928
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R. Khazal, S. Dascalescu and L. van Wyk, “Isomorphism of generalized triangular matrix rings and recovery of tiles”, International Journal of Mathematics and Mathematical Sciences 2003 (2003), 533-538. MR1968340
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C. Patterson, K.C. Smith and L. van Wyk, “Faktorringe van die Gauss-heelgetalle”, S.A. Tydskrif vir Natuurwetenskap en Tegnologie 23 (2004), 114-125.
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K.C. Smith and L. van Wyk, “A concrete matrix field description of some Galois fields”, Linear Algebra and its Applications 403 (2005), 159-164. MR2140278
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K.C. Smith and L. van Wyk, “Centralizer near-rings, matrix near-rings and cyclic p-groups”, Algebra Colloquium 12 (2005), 567-584. MR2183506
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J. Szigeti and L. van Wyk, “Subrings which are closed with respect to taking the inverse”, Journal of Algebra 318 (2007), 1068-1076. MR2371988
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J. Meyer, J. Szigeti and L. van Wyk, “On ideals of triangular matrix rings”, Periodica Mathematica Hungarica 59(1) (2009), 109-115. MR2544623
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V. Drensky, J. Szigeti and L. van Wyk, “Centralizers in endomorphism rings”, Journal of Algebra 324 (2010), 3378-3387. MR2735387
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S. Foldes, J. Szigeti and L. van Wyk, “Invertibility and Dedekind finiteness in structural matrix rings”, Linear and Multilinear Algebra 59(2) (2011), 221-227. MR2773652
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P.N. Anh and L. van Wyk, “Automorphism groups of generalized triangular matrix rings”, Linear Algebra and its Applications 434 (2011), 1018-1025. MR2763609
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V. Drensky, J. Szigeti and L. van Wyk, “Algebras generated by two quadratic elements”, Communications in Algebra 39 (2011), 1344-1355. MR2782609
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C. Boboc, S. Dascalescu and L. van Wyk, “Isomorphisms between Morita context rings”, Linear and Multilinear Algebra 60 (5) (2012), 545-563. MR2916840
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J. Szigeti and L. van Wyk, “The zero-level centralizer in endomorphism algebras”, Proceedings of the Royal Society of Edinburgh Section A – Mathematics 142 (6) (2012), 1325-1336. MR3002599
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J. Meyer, J. Szigeti and L. van Wyk, “A Cayley-Hamilton trace identity for 2 x 2 matrices over Lie-solvable rings”, Linear Algebra and its Applications 436 (2012), 2578-2582. MR2890016
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Y. Li, L. van Wyk and F. Wei, “Jordan derivations and antiderivations of generalized matrix algebras”, Operators and Matrices 7(2) (2013), 399-415. MR3099192
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S. Dascalescu, S. Predut and L. van Wyk, “Jordan isomorphisms of generalized structural matrix rings”, Linear and Multilinear Algebra 61(3) (2013), 369-376. MR3034538
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P.N. Anh and L. van Wyk, “Isomorphisms between strongly triangular matrix rings”, Linear Algebra and its Applications 438 (2013), 4374-4381. MR3246945
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J. Szigeti and L. van Wyk, “Determinants for n x n matrices and the symmetric Newton formula in the 3 x 3 case”, Linear and Multilinear Algebra 62(8) (2014), 1071-1090. MR3422366
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J. Szigeti and L. van Wyk, “On Lie nilpotent rings and Cohen’s theorem”, Communications in Algebra 43(11) (2015), 4783-4796. MR3422366
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L. Marki, J.H. Meyer, J. Szigeti and L. van Wyk, “Matrix representations of finitely generated Grassmann algebras and some consequences”, Israel Journal of Mathematics 208 (2015), 373-384. MR3416924
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C. Boboc, S. Dascalescu and L. van Wyk, “Jordan isomorphisms of 2-torsionfree triangular rings”, Linear and Multilinear Algebra 64(2) (2016), 290-296. MR3434523
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R. Slowik and L. van Wyk, “Automorphisms of some structural infinite matrix rings”, Operators and Matrices 10(1) (2016), 163-188. MR3460061
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P.N. Anh, G.F. Birkenmeier and L. van Wyk, “Idempotents and structures of rings”, Linear and Multilinear Algebra 64(10) (2016), 2002-2029. MR3521154
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L. van Wyk and M. Ziembowski, “Lie solvability and the identity [x_1, y_1][x_2, y_2]…[x_q, y_q] = 0 in certain matrix algebras”, Linear and Multilinear Algebra 533 (2017), 235-357. MR3521154
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J. Szigeti and L. van Wyk, “A constructive elementary proof of the Skolem-Noether Theorem for matrix algebras”, American Mathematical Monthly 124(10) (2017), 966-968. MR3733306
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B.-E. de Klerk, J.H. Meyer, J. Szigeti and L. van Wyk, “Functions realising as abelian group automorphisms”, Communications in Algebra, 46(2) (2018), 467-479. MR3764873
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L. van Wyk and M. Ziembowski, “Lie solvability in matrix algebras”, Linear and Multilinear Algebra, 67(4) (2019), 777-798. MR3914331
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F. Besleaga, S. Dascalescu and L. van Wyk, “Classifying good gradings on structural matrix algebras”, Linear and Multilinear Algebra 67(10) (2019), 1948-1957. MR3987572
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L. van Wyk and M. Ziembowski, “Solution of an open problem on cofaithful one-sided ideals”, Journal of Algebra 536 (2019), 229-241. MR3989616
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J. Szigeti, J.E. van den Berg, L. van Wyk and M. Ziembowski, “The maximum dimension of a Lie nilpotent subalgebra of Mn(F) of index m”, Transactions of the American Mathematical Society 327(7) (2019), 4553-4583. MR4009435
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J. Szigeti, S. Szilagyi and L. van Wyk, “A power Cayley-Hamilton identity for n x n matrices over a Lie nilpotent ring of index k”, Linear Algebra and its Applications 584 (2020), 153-163. MR4011057
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P. N. Anh, G.F. Birkenmeier and L. van Wyk, “Peirce decompositions, idempotents and rings”, Journal of Algebra 564 (2020), 247-275. MR4137697
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S. Homolya, J. Szigeti, L. van Wyk and M. Ziembowski, “Lie properties in associative algebras”, Journal of Algebra 573 (2021), 492-508.
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G. Bajor, L. van Wyk and M. Ziembowski, “Construction of a class of maximal commutative subalgebras of prime Leavitt path algebras”, Forum Mathematicum 33(6) (2021), 1573-1590. MR4333987
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G. Bajor, A. Cichocka, L. van Wyk and M. Ziembowski, ``Maximal commutative subalgebras of Leavitt path algebras’’, Communications in Contemporary Mathematics 26(2) (2024), 2250077 (28 pages).
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C. Boboc, S. Dascalescu and L. van Wyk, ``Cyclic algebras, symbol algebras and gradings on matrices’’, Linear Algebra and its Applications 688 (2024), 157-178.