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SOME CLASSIFICATIONS OF MONOIDS BY VARIOUS NOTIONS OF INJECTIVITY OF ACTS
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نویسنده
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roueentan mohammad ,ershad majid ,naghipoor mohammad ali
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منبع
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journal of algebraic systems - 2021 - دوره : 8 - شماره : 2 - صفحه:165 -180
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چکیده
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This paper is a continuation of recent researches concerning generalization of injectivity of acts over moniods, namely, c-injectivity and ind-injectivity. we introduce new kinds of injectivity, such as, lc-injectivity and cq-injectivity. classifications of monoids by properties of these kinds of injective acts are presented. it is proved that a monoid s is completely (cyclic) injective if and only if it is completely quasi (cq-) injective. some results on quasi-injective acts are proved. also new characterizations for right hereditary monoids and right pp-monoids are given.
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کلیدواژه
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Locally cyclic (weakly) injective act ,indecomposable (weakly) injective act ,C-injective act.
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آدرس
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lamerd higher education center, Iran, shiraz university, college of sciences, department of mathematics, Iran, jahrom university, department of mathematics, Iran
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پست الکترونیکی
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managhipooryahoo.com
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Authors
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