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Modules Whose Endomorphism Rings are Von Neumann Regular
Communications in Algebra, 2013Abelian groups whose endomorphism rings are von Neumann regular have been extensively investigated in the literature. In this paper, we study modules whose endomorphism rings are von Neumann regular, which we call endoregular modules. We provide characterizations of endoregular modules and investigate their properties.
Gangyong Lee, S Tariq Rizvi
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Module-theoretic generalization of commutative von Neumann regular rings
Communications in Algebra, 2019Jayaram and Tekir defined an R-module M, R is a commutative ring, to be “von Neumann regular” if for each m∈M, there exists an a∈R such that Rm=aM=a2M.
Sangmin Chun, D D Anderson
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On ϕ-P-flat modules and ϕ-von Neumann regular rings
Journal of Algebra and Its Applications, 2023Let [Formula: see text] be a commutative ring with a nonzero identity and [Formula: see text] an [Formula: see text]-module. Set [Formula: see text], if [Formula: see text]-[Formula: see text] then [Formula: see text] is called a [Formula: see text]-torsion module.
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Spectrum of a locally cyclic module over a commutative von neumann regular ring
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In this paper, we introduce von Neumann regular modules and give many characterizations of von Neumann regular modules.
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