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ON PRIME AND SEMIPRIME IDEALS OF Γ-SEMIHYPERRINGS
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نویسنده
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patil j.j. ,pawar k.f.
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منبع
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journal of algebra and related topics - 2021 - دوره : 9 - شماره : 1 - صفحه:131 -141
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چکیده
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The γ-semihyperring is a generalization of the concepts of a semiring, a semihyperring and a γ-semiring. in this paper, the notions of completely prime ideals and prime radicals for γ-semihyperring are introduced and studied some important properties accordingly. we also introduced the notions of m-system and complete m-system. then characterizations of prime ideals and completely prime ideals of γ-semihyperring with the help of m-system and complete m-system has been taken into account. it is our attempt to find a bridge between semiprime (completely semiprime) ideals and prime (completely prime) ideals of a γsemihyperring.
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کلیدواژه
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m-system ,complete m-system ,additively idempotent Γ-semihyperring.
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آدرس
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indraraj arts, commerce and science college, department of mathematics, India, kavayitri bahinabai chaudhari north maharashtra university, school of mathematical sciences, department of mathematics, India
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پست الکترونیکی
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kfpawar@nmu.ac.in
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Authors
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