Zobrazeno 1 - 10
of 29
pro vyhledávání: '"David Dolžan"'
Autor:
David Dolžan, Polona Oblak
Publikováno v:
Algebra Colloquium. 29:427-436
We prove that the Laplacian matrix of the total graph of a finite commutative ring with identity has integer eigenvalues and present a recursive formula for computing its eigenvalues and eigenvectors. We also prove that the total graph of a finite co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::166c645103c6eebd4d729b1ff6998241
https://doi.org/10.1142/s1005386722000323
https://doi.org/10.1142/s1005386722000323
Autor:
DAVID DOLŽAN
Publikováno v:
Bulletin of the Australian Mathematical Society. 106:83-88
Let R be a finite ring and let ${\mathrm {zp}}(R)$ denote the nullity degree of R, that is, the probability that the multiplication of two randomly chosen elements of R is zero. We establish the nullity degree of a semisimple ring and find upper and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe9e7d3daacd259aea00a361be85ecb8
https://doi.org/10.1017/s0004972721001246
https://doi.org/10.1017/s0004972721001246
Autor:
David Dolžan
Publikováno v:
Communications in algebra, vol. 49, no. 11, pp. 4800-4807, 2021.
We find bounds for the number of idempotents in a ring of matrices over an arbitrary finite commutative ring. Using these results, we find a bound on the number of idempotents in an arbitrary finite ring, whereby we improve upon the currently known b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18bb5236adcb3cc1795f1b0dece35777
https://doi.org/10.1080/00927872.2021.1929277
https://doi.org/10.1080/00927872.2021.1929277
Autor:
David Dolžan
Publikováno v:
Bulletin of the Australian Mathematical Society. 103:362-368
We determine the metric dimension of the annihilating-ideal graph of a local finite commutative principal ring and a finite commutative principal ring with two maximal ideals. We also find bounds for the metric dimension of the annihilating-ideal gra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25858e81f921db59a3f357e5c40c0649
https://doi.org/10.1017/s0004972720001239
https://doi.org/10.1017/s0004972720001239
Autor:
David Dolžan
Publikováno v:
Journal of Algebra and Its Applications. 22
We characterize the invertible matrices over a class of semirings such that the set of additively invertible elements is equal to the set of nilpotent elements. We achieve this by studying the liftings of the orthogonal sums of elements that are “a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::daa649a7f0d702779d6b95e9f0dc8e5c
https://doi.org/10.1142/s0219498823500792
https://doi.org/10.1142/s0219498823500792
Autor:
David Dolžan
Publikováno v:
Archiv der Mathematik. 112:581-586
We prove a formula for the number of representations of an element in a finite basic ring as a sum of k exceptional units and find bounds for this number in an arbitrary finite ring with identity.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b9a6f08e58bd09ddfab5145832ccaac
https://doi.org/10.1007/s00013-019-01304-x
https://doi.org/10.1007/s00013-019-01304-x
Although bivariate imprecise copulas have recently attracted substantial attention, the multivariate case seems still to be open. So, it is natural to test it first on shock model induced copulas, a family which might be the most useful in various ap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4316d8b6e6789fc3520ce866cc677089
http://arxiv.org/abs/2008.07869
http://arxiv.org/abs/2008.07869
Autor:
David Dolžan, Polona Oblak
Publikováno v:
Linear and Multilinear Algebra. 68:1057-1063
We prove that over a commutative semiring every symmetric strongly invertible matrix with nonnegative numerical range has a Cholesky decomposition.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f1f423c623d1e4046b506862555b2f9
https://doi.org/10.1080/03081087.2018.1529137
https://doi.org/10.1080/03081087.2018.1529137
Publikováno v:
Linear Algebra and its Applications. 522:161-174
For each prime p ≥ 7 we construct two matrices inside M 2 p ( Q ) , such that their distance in a commuting graph Γ ( M 2 p ( Q ) ) equals six.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c991ffad76e046b13e968da5bc99971c
https://doi.org/10.1016/j.laa.2017.02.001
https://doi.org/10.1016/j.laa.2017.02.001
Autor:
Polona Oblak, David Dolžan
Publikováno v:
Linear Algebra and its Applications. 510:222-229
We study the simultaneously nilpotent index of a simultaneously nilpotent set of matrices over an antinegative commutative semiring S . We find an upper bound for this index and give some characterizations of the simultaneously nilpotent sets when th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe438be3c8df1cccbfdcd17d6eb7f652
https://doi.org/10.1016/j.laa.2016.08.014
https://doi.org/10.1016/j.laa.2016.08.014