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Publikováno v:
Journal of Algebra. 573:492-508
For a field K containing 1 2 , we exhibit two matrices in the full n × n matrix algebra M n ( K ) which generate M n ( K ) as a Lie K-algebra with the commutator Lie product. We also study Lie centralizers of a not necessarily commutative unitary al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f14399163b04d5558239e0e3fddd0e9
https://doi.org/10.1016/j.jalgebra.2021.01.002
https://doi.org/10.1016/j.jalgebra.2021.01.002
Autor:
Stephan Foldes
Publikováno v:
Scopus-Elsevier
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::188d80a5fd48a6c22d7e62d2b785785e
http://www.scopus.com/inward/record.url?eid=2-s2.0-84939227160&partnerID=MN8TOARS
http://www.scopus.com/inward/record.url?eid=2-s2.0-84939227160&partnerID=MN8TOARS
Autor:
Jeno Szigeti, Leon van Wyk
We give a constructive elementary proof for the fact that any K-automorphism of the full nxn matrix algebra over a field K is conjugation by some invertible nxn matrix A over K.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03807532a476a3acbdbcff76822eb78c
http://arxiv.org/abs/1810.08368
http://arxiv.org/abs/1810.08368
Autor:
Jeno Szigeti
Publikováno v:
Discrete Mathematics. 321:53-56
Let f be a self-map of the set A. We give a necessary and sufficient condition for the existence of a lattice structure on A such that f becomes a lattice endomorphism with respect to this structure.
Comment: arXiv admin note: substantial text o
Comment: arXiv admin note: substantial text o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f3b30a5e60f3be32f2790b336771125
https://doi.org/10.1016/j.disc.2013.12.018
https://doi.org/10.1016/j.disc.2013.12.018
Autor:
Jeno Szigeti, Leon van Wyk
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 142:1325-1336
For an endomorphism f\inEnd{M) of a left R-module M we investigate the structure and the polynomial identities of the zero-level centralizer Cen_0(f) and the factor Cen(f)/Cen_0(f). A double zero-centralizer theorem for Cen_0(Cen_0(f)) is also formul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d8554d398065c74018a083cbfa22315
https://doi.org/10.1017/s030821051100059x
https://doi.org/10.1017/s030821051100059x
Publikováno v:
Periodica Mathematica Hungarica. 59:109-115
We provide a formula for the number of ideals of complete block-triangular matrix rings over any ring R such that the lattice of ideals of R is isomorphic to a finite product of finite chains, as well as for the number of ideals of (not necessarily c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::617be42861b853ebac53f6eb6c305c56
https://doi.org/10.1007/s10998-009-9109-y
https://doi.org/10.1007/s10998-009-9109-y
Autor:
Jeno Szigeti
Let R be a Lie nilpotent algebra of index k over a field K of characteristic zero. If G is an n-element subgroup of Aut(R) of the K-automorphisms, then we prove that R is right integral over Fix(G) of degree n^k. In the presence of a primitive n-th r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6da0e802cb5624f19efe4e099cdda570
http://arxiv.org/abs/1501.07104
http://arxiv.org/abs/1501.07104
Autor:
Jeno Szigeti
Publikováno v:
Communications in Algebra. 33:2683-2695
The general ideas introduced in Radeleczki and Szigeti (2004) are adapted to investigate quasi cones and cones of rings. Using the finite extension property for cones, we answer the question concerning when a compatible partial order of a ring has a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b122d1c7c09f88ae02f5235d3647f4b1
https://doi.org/10.1081/agb-200064359
https://doi.org/10.1081/agb-200064359
Autor:
Jeno Szigeti, Stephan Foldes
Let f : A → A be a self-map of the set A. We give a necessary and sufficient condition for the existence of a lattice structure (A, ∨, ∧) on A such that f becomes a lattice anti-endomorphism with respect to this structure.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f964c5ff0357520639b6fceca1f8700b
http://arxiv.org/abs/1411.3481
http://arxiv.org/abs/1411.3481