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on lifting acts over monoids
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نویسنده
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tahmasebi ashtiani b. ,rasouli h. ,tehranian a. ,barzegar h.
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منبع
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journal of linear and topological algebra - 2022 - دوره : 11 - شماره : 4 - صفحه:265 -269
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چکیده
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Let a be an s-act where s is a monoid. then a is called lifting if every proper subact l of a lies over a direct summand, that is, l contains a direct summand k of a such that k ⊂ l is co-small in a. in this paper, characterizations of lifting s-acts and co-closed subacts are presented. we show that the class of supplemented acts are strictly larger than that of lifting ones.
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کلیدواژه
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s-act ,supplement ,supplemented ,lifting ,co-closed
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آدرس
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islamic azad university, science and research branch, department of mathematics, iran, islamic azad university, science and research branch, department of mathematics, iran, islamic azad university, science and research branch, department of mathematics, iran, tafresh university, department of mathematics, iran
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پست الکترونیکی
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barzegar@tafreshu.ac.ir
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Authors
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