Results 131 to 140 of about 52,756 (165)

Torsion-free modules with UA-rings of endomorphisms

Mathematical Notes, 2015
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Lyubimtsev, O. V., Chistyakov, D. S.
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Torsion-free modules over Dedekind rings

Mathematical Notes of the Academy of Sciences of the USSR, 1974
We obtain necessary and sufficient conditions in order that an arbitrary pure monoendomorphism of a module decomposed into a direct sum of rank 1 torsion-free modules over a Dedekind ring be an automorphism.
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Semiprime torsion free rings

2016
In an earlier paper, the author developed a theory that in a semiprime torsion free ring, there is an essential direct sum of three completely unique and algebraically very different types of ideals, one of which is discrete and the others are continuous.
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TORSION-FREE RINGS WITH FINITE AUTOMORPHISM GROUPS

Communications in Algebra, 2001
The paper considers finite rank torsion-free rings, i.e, subrings of finite-dimensional rational algebras. The main result of the paper is the characterization of finite rank torsion-free rings with finite automorphism groups. Nontrivial examples of rings R with AutR finite have been constructed.
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The ring as a torsion-free cover

Israel Journal of Mathematics, 1980
LetR be an integral domain andI a non-zero ideal ofR. The canonical mapR→R/I is called atorsion-free cover ofR/I if everyR-homomorphism from a torsion-freeR-module intoR/I can be factored throughR. The main result of this paper is thatR→R/I is a torsion-free cover if and only ifR is complete in theR-topology andI is an ideal of injective dimension 1 ...
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Torsion-free rings with almost regular automorphisms

Communications in Algebra, 1996
In this paper we consider finite rank torsion-free rings, which have almost regular automorphisms (a non-trivial automorphism is calledalmost regular if it has only trivial fixed points, i.e. zero and the elements of a ring linear dependent on its identity).
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Some torsion-free subgroups in group rings

2016
Let \(G\) be an arbitrary group and let \(R\) be a commutative ring with identity. Denote by \(\Delta_R(G)\) the augmentation ideal of the group algebra \(RG\). Given a normal subgroup \(N\) of \(G\), let \(\Delta_R(G,N)\) be the kernel of the natural homomorphism \(RG\to R(G/N)\).
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Self‐Sustained Snapping Drives Autonomous Dancing and Motion in Free‐Standing Wavy Rings

Advanced Materials, 2023
Jie Yin
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Gold-Catalyzed Synthesis of Small Rings

Chemical Reviews, 2021
Mauro Mato, Allegra Franchino, Antonio M Echavarren   +2 more
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Torsion Modules Over Free Ideal Rings

Proceedings of the London Mathematical Society, 1967
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