Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Kirby C. Smith"'
Autor:
Leon van Wyk, Kirby C. Smith
Publikováno v:
Algebra Colloquium. 12:567-584
If G is a finite group and [Formula: see text] is a group of automorphisms of G, then it is known that the matrix near-ring [Formula: see text] is a subnear-ring of the centralizer near-ring [Formula: see text] for every m ≥ 2. Conditions are known
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea5ae4e1d4e539d473097a64d6f5289a
https://doi.org/10.1142/s1005386705000532
https://doi.org/10.1142/s1005386705000532
Autor:
Leon van Wyk, Kirby C. Smith
Publikováno v:
Linear Algebra and its Applications. 403:159-164
We provide a concrete description of some factor rings of the polynomial ring k [ X ], k a field, as fields of matrices, namely of the factor rings k [ X ]/( X n − X − 1) for which n is such that the polynomial X n − X − 1 is irreducible in k
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5ff29ba7f71ddd7d0d7c2671daa726d
Publikováno v:
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie. 23:114-125
Whereas the homomorphic images of Z (the ring of integers) are well known, namely Z, {0} and Zn (the ring of integers modulo n), the same is not true for the homomorphic im-ages of Z[i] (the ring of Gaussian integers). More generally, let m be any no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7492f5566616076e0c9ef4d72ff56d2
https://doi.org/10.4102/satnt.v23i4.201
https://doi.org/10.4102/satnt.v23i4.201
Publikováno v:
South African Journal of Science and Technology, Vol 23, Iss 4, Pp 114-125 (2004)
In teenstelling met die faktorringe van Z (die ring van heelgetalle) wat goed bekend is, naamlik Z, {0} en Zn (die ring van heelgetalle modulo n), is dieselfde nie waar vir die homomorfe beelde van Z[i] (die ring van Gauss-heelgetalle) nie. Meer alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doajarticles::ee221a8dc02c01e31a124cbe52faf3ef
http://www.satnt.ac.za/index.php/satnt/article/view/201
http://www.satnt.ac.za/index.php/satnt/article/view/201
Autor:
Kirby C. Smith, David A. Sánchez
Publikováno v:
The College Mathematics Journal. 31:397-403
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5227c3538e94ba45054c19e9bbb7dd6
https://doi.org/10.1080/07468342.2000.11974180
https://doi.org/10.1080/07468342.2000.11974180
Autor:
Leon van Wyk, Kirby C. Smith
Publikováno v:
Algebra Colloquium. 7:5-16
For a finite group G and a subgroup A of Aut(G), let M A (G) denote the centralizer near-ring determined by A and G. The group G is an M A (G)-module. Using the action of M A (G) on G, one has the n × n generalized matrix near-ring Mat n (M A (G);G)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ebd7e8b32ee8298008a3aa41940589f2
https://doi.org/10.1007/s10011-000-0005-5
https://doi.org/10.1007/s10011-000-0005-5
Autor:
Leon van Wyk, Kirby C. Smith
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 41:177-195
For N any member of a large class of finite abelian right centralizer near-rings, the subring of the ring End(N) of endomorphisms of (N, +) generated by the set of right multiplication maps on N is explicitly described as a generalized blocked triang
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f011ac9d9df25f7292413a004de6c55
https://doi.org/10.1017/s0013091500019490
https://doi.org/10.1017/s0013091500019490
Autor:
Kirby C. Smith, Leon van Wyk
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 128:137-145
We answer the question, raised in 1989, whether the ℐ2-radical of a structural matrix near-ring can be written as the sum of two nontrivial ideals, one of which is nilpotent, in the affirmative.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9609b5d5d7ed9f38c8306b6be8902133
https://doi.org/10.1017/s0308210500027207
https://doi.org/10.1017/s0308210500027207
Autor:
Gary White, Kirby C. Smith
Publikováno v:
The College Mathematics Journal. 27:374-378
(1996). The Rental Car Problem. The College Mathematics Journal: Vol. 27, No. 5, pp. 374-378.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e55dc9ef7106cf7afadeec13429742a
https://doi.org/10.1080/07468342.1996.11973811
https://doi.org/10.1080/07468342.1996.11973811
Autor:
Kirby C. Smith
Publikováno v:
Journal of Algebra. 182:329-339
LetNbe a right near-ring with identity such that (N, +) is abelian. BecauseNenjoys the right distributive property, every right multiplication map onNis an endomorphism of (N, +). The set of all right multiplication maps onNgenerates a ring R, a subr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::413164e494c6008e784149771c70a76b
https://doi.org/10.1006/jabr.1996.0173
https://doi.org/10.1006/jabr.1996.0173