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composition series on (rees) congruences of s-acts.
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نویسنده
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khosravi roghaieh ,roueentan mohammad
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منبع
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categories and general algebraic structures with applications - 2023 - دوره : 19 - شماره : 1 - صفحه:29 -46
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چکیده
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In this paper, we study composition series of subacts or congruences of s-acts. it is shown that composition series of subacts are exactly those that are both rees artinian and rees noetherian, i.e. those satisfying both ascending and descending chain conditions on subacts. but this is not valid for the case of composition series of congruences in general. we prove that the properties of having composition series of subacts or congruences are inherited in rees short exact sequences. also, we discuss whenever two composition series of subacts or congruences have the same length and they are equivalent.
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کلیدواژه
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(rees) noetherian ,(rees) artinian ,composition series
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آدرس
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fasa university, faculty of sciences, department of mathematics, iran, lamerd higher education center, college of engineering, iran
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پست الکترونیکی
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rooeintan@lamerdhec.ac.ir
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Authors
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