On 2-absorbing primary ideals in commutative rings
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Let R be a commutative ring with 1 6= 0. In this paper, we introduce the concept of 2-absorbing primary ideal which is a general- ization of primary ideal. A proper ideal I of R is called a 2-absorbing primary ideal of R if whenever a, b, c ∈ R and abc ∈ I, then ab ∈ I or ac ∈ √I or bc ∈ √I. A number of results concerning 2-absorbing primary ideals and examples of 2-absorbing primary ideals are given.
Abstract
Let R be a commutative ring with 1 6= 0. In this paper, we introduce the concept of 2-absorbing primary ideal which is a general- ization of primary ideal. A proper ideal I of R is called a 2-absorbing primary ideal of R if whenever a, b, c ∈ R and abc ∈ I, then ab ∈ I or ac ∈ √I or bc ∈ √I. A number of results concerning 2-absorbing primary ideals and examples of 2-absorbing primary ideals are given.
참고문헌 (8)
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