Results 21 to 30 of about 1,334 (223)
Centralizers in endomorphism rings
Journal of Algebra, 2010 We prove that the centralizer Cen(f) in Hom_R(M,M) of a nilpotent endomorphism f of a finitely generated semisimple left R-module M (over an arbitrary ring R) is the homomorphic image of the opposite of a certain Z(R)-subalgebra of the full m x m matrix algebra M_m(R[z]), where m is the dimension (composition length) of ker(f).
Drensky, Vesselin +2 more
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RING ENDOMORPHISMS WITH LARGE IMAGES [PDF]
Glasgow Mathematical Journal, 2013 AbstractThe notion of ring endomorphisms having large images is introduced. Among others, injectivity and surjectivity of such endomorphisms are studied. It is proved, in particular, that an endomorphism σ of a prime one-sided noetherian ringRis injective whenever the image σ(R) contains an essential left idealLofR.
Leroy, André, Matczuk, Jerzy
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Pathological modules over tame rings [PDF]
, 1976 Brenner S, Ringel CM. Pathological modules over tame rings. Journal of the London Mathematical Society.
Ringel, Claus Michael, Brenner, Sheila
core +2 more sources
An endomorphism ring which is not Ore [PDF]
, 1974 An example is given of a finitely generated module over a commutative ring whose endomorphism ring does not have a classical ring of quotients.
William D. Blair
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Abelian groups with left morphic endomorphism ring [PDF]
, 2018 The main purpose of this paper is to determine as much as possible, large classes of Abelian groups which have left morphic endomorphism ring. We show that morphic Abelian groups and Abelian groups whose endomorphism ring is left (or right) morphic ...
Grigore Călugăreanu
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Centralizer near-rings that are endomorphism rings [PDF]
Proceedings of the American Mathematical Society, 1980 For a finite ring R with identity and a finite unital R -module V the set C
Maxson, Carlton J., Smith, Kirby C.
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Some Notes on Semiabelian Rings
International Journal of Mathematics and Mathematical Sciences, 2011 It is proved that if a ring R is semiabelian, then so is the skew polynomial ring R[x;σ], where σ is an endomorphism of R satisfying σ(e)=e for all e∈E(R). Some characterizations and properties of semiabelian rings are studied.
Junchao Wei, Nanjie Li
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Irreducible skew polynomials over domains
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Let S be a domain and R = S[t; σ, δ] a skew polynomial ring, where σ is an injective endomorphism of S and δ a left σ -derivation. We give criteria for skew polynomials f ∈ R of degree less or equal to four to be irreducible.
Brown C., Pumplün S.
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On the trace of permuting tri-derivations on rings
Математичні Студії, 2022 In the paper we examined the some effects of derivation, trace of permuting tri-derivation and endomorphism on each other in prime and semiprime ring. Let $R$ be a $2,3$-torsion free prime ring and $F:R\times R\times R\rightarrow R$ be a permuting tri ...
D. Yılmaz, H. Yazarlı
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Some annihilator ideals in skew Hurwitz series rings [PDF]
Mathematica BohemicaA ring $R$ has right (left) property (A) if for every finitely generated two-sided ideal $I\subseteq Z_l(R)$ $(I\subseteq Z_r(R))$, there exists nonzero $u\in R$ $(v\in R)$ such that $Iu=0$ $(vI=0)$. In this article, we establish a relationship between a
Amit B. Singh, Deepa Arora
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