On fractional n-Absorbing ideals of integral domains
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Let R be an integral domain and n a positive integer. In this paper, we introduce the concept of a fractional n-absorbing ideal of R which is a generalization of a strongly prime ideal. Various ring theoretic properties of fractional n-absorbing ideals are studied. In particular, some conditions under which a strongly primary ideal is a fractional n-absorbing ideal are considered.
Abstract
Let R be an integral domain and n a positive integer. In this paper, we introduce the concept of a fractional n-absorbing ideal of R which is a generalization of a strongly prime ideal. Various ring theoretic properties of fractional n-absorbing ideals are studied. In particular, some conditions under which a strongly primary ideal is a fractional n-absorbing ideal are considered.
참고문헌 (12)
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