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Endomorphisms of the 2-adic ring $C^*$-algebra and its Weyl group [PDF]
Dolapo Oyetunbi, Dilian Yang
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On rings whose non-constant semigroup endomorphisms are ring endomorphisms
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sp-Groups and Their Endomorphism Rings
Journal of Mathematical Sciences, 2021A 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, 1988Let \(\sum \leq \prod\) 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 of bimodules
Periodica Mathematica Hungarica, 2014For 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]
<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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Archiv der Mathematik, 2004
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Nicholson, W. K. +2 more
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Nicholson, W. K. +2 more
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