n-absorbing I-primary ideals in commutative rings
DOI:
https://doi.org/10.25130/tjps.v28i4.1536Keywords:
Ring, Primary ideal, I-primary ideal, n-absorbing I-primary idealAbstract
We define a new generalization of n-absorbing ideals in commutative rings called n-absorbing I-primary ideals. We investigate some characterizations and properties of such new generalization. If P is an n-absorbing I-primary ideal of R and √IP=I√P, then √P is a n-absorbing I-primary ideal of R. And if √P is an (n-1)-absorbing ideal of R such that √(I√P) ⊆IP, then P is an n-absorbing I-primary ideal of R.
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