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A NEW GENERALIZATION OF t-LIFTING MODULES
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نویسنده
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talebi y. ,moniri hamzekolaee a. r. ,hosseinpour m. ,asgari s.
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منبع
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journal of algebra and related topics - 2020 - دوره : 8 - شماره : 1 - صفحه:1 -13
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چکیده
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In this paper we introduce the concept of tcc-modules which is a proper generalization of (t-)lifting modules. let m be a module over a ring r. we call m a tcc-module (related to t-coclosed submodules) provided that for every t-coclosed submodule n of m , there exists a direct summand k of m such that m = n + k and n ∩ k≪ k. we prove that a module with (d 3) property is tcc if and only if every direct summand of m is tcc. it is also shown that an amply supplemented module m is tcc if and only if m decomposed to z^2 (m) and a submodule l of m that both of them are tcc.
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کلیدواژه
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t-small submodule ,t-coclosed submodule ,t-lifting module ,tCC-module.
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آدرس
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university of mazandaran, department of mathematics, Iran, university of mazandaran, department of mathematics, iran, university of mazandaran, department of mathematics, iran, university of mazandaran, department of mathematics, Iran
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Authors
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