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commutativity of prime rings involving multiplicative b-generalized derivation
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نویسنده
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ahmed wasim ,mozumder muzibur rahman ,abbasi adnan ,alnoghashi hafedh
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منبع
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journal of algebra and related topics - 2025 - دوره : 13 - شماره : 2 - صفحه:165 -176
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چکیده
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let qa_{mr} be a maximal right ring of quotients of aa, whereaa is a prime ring. a map fa : aa rightarrow qa_{mr} associated with derivation d : aa rightarrow aa is called a multiplicative b-generalized derivation (need not necessarily additive) if fa(l m ) = fa(l )m + bl d(m ) holds for all l ,m in aa and for some b in qa_{mr}. in this article, we study the commutativity of prime rings when the map b-generalized derivation satisfies the strong commutativity preserving condition and some central identities.
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کلیدواژه
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derivation ,prime ring ,multiplicative generalized derivation ,multiplicative b-generalized derivation
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آدرس
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sreenidhi university, department of mathematics, india, aligarh muslim university, department of mathematics, india, vit bhopal university, school of advanced science and languages, india, amran university, department of mathematics, yemen
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پست الکترونیکی
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halnoghashi@gmail.com
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Authors
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