∇-prime rings and their commutativity

Consider a ring with an (anti)-automorphism ∇ of finite order. The fundamental aim of this manuscript is to introduce the notions of ∇-(semi)prime ideal and ∇-(semi)prime ring as a generalization of the notions of (semi)prime ideal, [Formula: see text]-(semi)prime ideal, (semi)prime ring and [Formul...

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التفاصيل البيبلوغرافية
الحاوية / القاعدة:Journal of Taibah University for Science
المؤلفون الرئيسيون: Mohammad Aslam Siddeeque, Abbas Hussain Shikeh
التنسيق: مقال
اللغة:الإنجليزية
منشور في: Taylor & Francis Group 2023-12-01
الموضوعات:
Derivation
prime ring
∇-prime ring
automorphism
involution
anti-automorphism
الوصول للمادة أونلاين:https://www.tandfonline.com/doi/10.1080/16583655.2023.2211505
الوصف
الملخص:Consider a ring with an (anti)-automorphism ∇ of finite order. The fundamental aim of this manuscript is to introduce the notions of ∇-(semi)prime ideal and ∇-(semi)prime ring as a generalization of the notions of (semi)prime ideal, [Formula: see text]-(semi)prime ideal, (semi)prime ring and [Formula: see text]-(semi)prime ring. Furthermore, we will investigate their basic properties and study the commutative property of ∇-prime rings which satisfy certain central differential identities on ∇-ideals.
تدمد:1658-3655

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