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Safety and efficacy of the automated liquid-phase embryo storage, Hatchferti: a pilot study. [PDF]
PeerJMeng Y +11 more
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Bulletin of the Australian Mathematical Society, 2011 AbstractSeveral characterizations are given of (Zelmanowitz) regular modules among the torsionless modules, the locally projective modules, the nonsingular modules, and modules where certain submodules are pure. Along the way, a version of the unimodular row lemma for torsionless modules is given, and it is shown that a regular ring is left self ...
Huanyin Chen, W K Nicholson
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On Regular Fusible Modules [PDF]
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: MatematicasIn this article, we introduce the notion of regular fusible modules. Let $R$ be a ring with an identity and $M$ an $R$-module. An element $0\neq m\in M$ is said to be regular fusible if there exists $r\in R$, a non zero-divisor of $M$, such that $mr$ can be written as the sum of a torsion element and a torsion free element in $M$. $M$ is called regular
Unsal Tekir, Suat Koc, Osama A Naji
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Transactions of the American Mathematical Society, 1972 Mathematics Technical ...
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The Direct Sum Order in Regular Modules
Journal of Algebra and Its Applications, 2020 In this paper, we define the direct sum relation on a module and prove that this is a partial order when the module is regular. We also focus on a regular support and a strong regular support of an element in a module, which are extensions of a ...
Abdullah Harmancı +2 more
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Abelian Groups and Regular Modules
Mathematical Notes, 2001By the word module it is always meant a unitary left module over an associative ring with identity element and all groups are Abelian. A module is said to be regular if any of its cyclic submodules is a direct summand and a group is called endoregular if it is regular as a module over its endomorphism ring.
P A Krylov
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Mathematical Notes, 1976
In this paper we introduce the concept of a module regular in the sense of von Neumann. We construct a regular completion of a module X torsion-free relative to a filter\(\mathfrak{F}_R \) of dense modules over a commutative semiprimary ring R. The paper's main result is a theorem that module X is divisible (is injective relative to filter\(\mathfrak{F}
V K Zakharov
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In this paper we introduce the concept of a module regular in the sense of von Neumann. We construct a regular completion of a module X torsion-free relative to a filter\(\mathfrak{F}_R \) of dense modules over a commutative semiprimary ring R. The paper's main result is a theorem that module X is divisible (is injective relative to filter\(\mathfrak{F}
V K Zakharov
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J. Appl. Math., 2013
Summary: We introduce and study \(GF\)-regular modules as a generalization of \(\pi\)-regular rings to modules as well as regular modules (in the sense of Fieldhouse). An \(R\)-module \(M\) is called \(GF\)-regular if for each \(x\in M\) and \(r\in R\), there exist \(t\in R\) and a positive integer \(n\) such that \(r^ntr^nx=r^nx\). The notion of \(G\)-
Areej M. Abduldaim, Sheng Chen 0007
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Summary: We introduce and study \(GF\)-regular modules as a generalization of \(\pi\)-regular rings to modules as well as regular modules (in the sense of Fieldhouse). An \(R\)-module \(M\) is called \(GF\)-regular if for each \(x\in M\) and \(r\in R\), there exist \(t\in R\) and a positive integer \(n\) such that \(r^ntr^nx=r^nx\). The notion of \(G\)-
Areej M. Abduldaim, Sheng Chen 0007
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