D’Alembert’s Matrix Functional Equation with an Endomorphism on Abelian Groups
Sign Up to like & getrecommendations! Published in 2020 at "Results in Mathematics"
DOI: 10.1007/s00025-020-01265-6
Abstract: Let G be an abelian group, let $$M_{2}(\mathbb {C})$$ be the algebra of complex $$2\times 2$$ matrices, and let $$\varphi :G\rightarrow G$$ be an endomorphism that need not be involutive. We determine the solutions $$\Phi… read more here.
Keywords: endomorphism; functional equation; rightarrow mathbb; phi ... See more keywords
The endomorphism monoids and automorphism groups of Cayley graphs of semigroups
Sign Up to like & getrecommendations! Published in 2017 at "Semigroup Forum"
DOI: 10.1007/s00233-017-9875-4
Abstract: In this note, we introduce the notions of color-permutable automorphisms and color-permutable vertex-transitive Cayley graphs of semigroups. As a main result, for a finite monoid S and a generating set C of S, we explicitly… read more here.
Keywords: graphs semigroups; color; endomorphism; automorphism ... See more keywords
Fixed points and entropy of endomorphisms on simple abelian varieties
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.09.018
Abstract: In this paper we investigate fixed-point numbers and entropies of endomorphisms on abelian varieties. It was shown quite recently that the number of fixed-points of an iterated endomorphism on a simple complex torus is either… read more here.
Keywords: number; points entropy; fixed points; simple abelian ... See more keywords
Base change along the Frobenius endomorphism and the Gorenstein property
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2021.12.001
Abstract: Let $R$ be a local ring of positive characteristic and $X$ a complex with nonzero finitely generated homology and finite injective dimension. We prove that if derived base change of $X$ via the Frobenius (or… read more here.
Keywords: base change; change along; endomorphism; base ... See more keywords
The centralizer of an endomorphism over an arbitrary field
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.01.013
Abstract: The centralizer of an endomorphism of a finite dimensional vector space is known when the endomorphism is nonderogatory or when its minimal polynomial splits over the field. It is also known for the real Jordan… read more here.
Keywords: endomorphism; arbitrary field; centralizer endomorphism; endomorphism arbitrary ... See more keywords
On the endomorphism semigroup of a multiple wreath product of groups
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Algebra"
DOI: 10.1080/00927872.2016.1206340
Abstract: ABSTRACT Let be a cyclic group of order pm, where p is a prime and m is an arbitrary positive integer. It is proved that the wreath product (n factors) is determined for each natural… read more here.
Keywords: endomorphism; endomorphism semigroup; wreath product; group ... See more keywords
On a category of chains of modules whose endomorphism rings have at most 2n maximal ideals
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Algebra"
DOI: 10.1080/00927872.2017.1372459
Abstract: ABSTRACT We describe the endomorphism rings in an additive category whose objects are right R-modules M with a fixed chain of submodules and the behavior of these objects as far as their direct sums are… read more here.
Keywords: category chains; endomorphism rings; endomorphism; modules whose ... See more keywords
On Hermitian endomorphism rings
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498817502206
Abstract: Let A be a right R-module with finite exchange property and let E be its endomorphism ring. In this paper, some sufficient and necessary conditions for E to be a Hermitian ring are given. Moreover,… read more here.
Keywords: endomorphism rings; endomorphism; hermitian endomorphism;
Modules Whose Endomorphism Rings Are (m, n)-Coherent
Sign Up to like & getrecommendations! Published in 2019 at "Algebra Colloquium"
DOI: 10.1142/s100538671900018x
Abstract: Let M be a right R-module with endomorphism ring S. We study the left (m, n)-coherence of S. It is shown that S is a left (m, n)-coherent ring if and only if the left… read more here.
Keywords: coherent; whose endomorphism; endomorphism rings; modules whose ... See more keywords
The dynamic of a Lie group endomorphism
Sign Up to like & getrecommendations! Published in 2017 at "Open Mathematics"
DOI: 10.1515/math-2017-0120
Abstract: Abstract For a given endomorphism φ on a connected Lie group G this paper studies several subgroups of G that are intrinsically connected with the dynamic behavior of φ. read more here.
Keywords: lie group; endomorphism; dynamic lie; group endomorphism ... See more keywords