Modules Which are Reduced Over Their Endomorphism Rings

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The Mathematical Association of Thailand

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info:eu-repo/semantics/embargoedAccess

Özet

Let R be an arbitrary ring with identity and M a right R-module with S = EndR(M). The module M is called reduced if for any m ∈ M and f ∈ S, fm = 0 implies fM ∩ Sm = 0. In this paper, we investigate properties of reduced modules and rigid modules.

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Anahtar Kelimeler

Reduced Modules, Rigid Modules, Semicommutative Modules, Abelian Modules, Baer Modules, Quasi-Baermodules, Principally Quasi-Baermodules, Rickart Modules, Principally Projective Modules

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Thai Journal of Mathematics

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13

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1

Künye

AGHAYEV, Nazım, Sait HALICIOĞLU, Abdullah HARMANCI & Burcu ÜNGÖR. "Modules Which are Reduced Over Their Endomorphism Rings". Thai Journal of Mathematics, 13.1 (2015): 177-188.

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