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on quasi primary ideals and weakly quasi primary ideals
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نویسنده
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alehafttan alireza
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منبع
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caspian journal of mathematical sciences - 2024 - دوره : 13 - شماره : 1 - صفحه:106 -117
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چکیده
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let r be a commutative ring with identity. a proper ideal qof r is called quasi primary (weakly quasi primary) if whenever abin q (0neq abin q) for some a,b in r, then ain sqrt{q} or bin sqrt{q}. in this paper, we study quasi primary (weakly quasi primary) ideals which are generalization of prime ideals. our study provides an analogous to the prime avoidancetheorem. we determined the noetherian rings that each ideal of them is quasi primary and the rings that each ideal of them is weakly quasi primary. besides giving variousexamples and characterizations of quasi primary and weakly quasi primary and we investigatethe relations between them.
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کلیدواژه
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prime ideal ,quasi primary ideal ,weakly quasi primary ideal
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آدرس
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jundi-shapur university of technology, department of mathematics, iran
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پست الکترونیکی
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a.r.alehafttan@jsu.ac.ir
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Authors
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