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arxiv: 1505.06412 · v1 · pith:ENWYOOW2new · submitted 2015-05-24 · 🧮 math.AC

Uniformly 2-absorbing primary ideals of commutative rings

classification 🧮 math.AC
keywords absorbingidealsprimarycommutativeringsuniformlyinvestigateboundedness
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In this study, we introduce the concept of "uniformly 2-absorbing primary ideals" of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absorbing primary ideals of commutative rings. Then we investigate some properties of uniformly 2-absorbing primary ideals of commutative rings with examples. Also, we investigate a specific kind of uniformly 2-absorbing primary ideals by the name of "special 2-absorbing primary ideals".

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