Results 191 to 200 of about 2,272 (232)

On rings whose non-constant semigroup endomorphisms are ring endomorphisms

open access: yesOn rings whose non-constant semigroup endomorphisms are ring endomorphisms
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sp-Groups and Their Endomorphism Rings

Journal of Mathematical Sciences, 2021
A mixed abelian group \(G\) is called an \(sp\)-group if it can be embedded in a natural way in the direct product of its primary components. In the present paper, the authors provide a comprehensive study of these groups, with a special attention to the case of mixed groups of finite torsion-free rank.
Krylov, Petr Andreevich   +2 more
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COUNTABLE RINGS AS ENDOMORPHISM RINGS

The Quarterly Journal of Mathematics, 1988
Let \(\sum \leq \prod\) be the direct sum and product of countably many copies of the integers, let \(\sum \leq D\leq \prod\) such that D/\(\sum\) is the divisible part of \(\prod /\sum\), and let \(e_ n=(\delta_{in})_{i\in {\mathbb{N}}}\in \prod\) be the generalized n-th unit vector.
Dugas, M., Irwin, J., Khabbaz, S.
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Endomorphism Rings

Communications in Algebra, 2007
Richard Resco
exaly   +2 more sources

Endomorphism rings of bimodules

Periodica Mathematica Hungarica, 2014
For an integral domain \(R\), the endomorphism ring of a torsion-free \(R\)-module is torsion-free, as well. The authors investigate if this remains true for non-commutative rings, where ``torsion-free'' is replaced by ``non-singular''. Let \(R\) be a unital but not necessarily commutative ring. A right module \(M\) over \(R\) is right non-singular if \
Albrecht, Ulrich F., Göbel, Rüdiger
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Rings close to periodic with applications to matrix, endomorphism and group rings [PDF]

open access: yesCommunications in Algebra
<p>We examine those matrix rings whose entries lie in periodic rings equipped with some additional properties. Specifically, we prove that the famous Diesl's question whether or not a ring R being nil-clean implies that the matrix ring Mn(R) over R
Peter V Danchev
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Clean endomorphism rings

Archiv der Mathematik, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nicholson, W. K.   +2 more
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