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On n-absorbing delta-primary ideals

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2018

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SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK

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Abstract

Let R be a commutative ring with nonzero identity and n be a positive integer. In this paper, we study the concepts of n-absorbing delta-primary ideals and weakly n-absorbing delta-primary ideals, which are the generalizations of delta-primary ideals and weakly delta-primary ideals, respectively. We introduce the concepts of n-absorbing delta-primary ideals and weakly n-absorbing delta-primary ideals. Moreover, we give many properties of these new types of ideals and investigate the relations between these structures.

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2-absorbing ideal, delta-primary ideal, weakly n-absorbing delta-primary ideal, COMMUTATIVE RINGS

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