Generalizations of <i>r</i>-ideals of commutative rings
نویسندگان
چکیده
In this study, we present generalizations of the concept r-ideals in commutative rings with a nonzero identity. Let R be ring 0 ≠ 1 and L(R) lattice all ideals R. Suppose that ϕ:L(R) → ∪ {Ø} is function. A proper ideal I called ϕ-r-ideal if whenever ab ∈ Ann(a) = (0) imply b for each a,b addition to proven many properties ϕ-r-ideals, also examine ϕ-r-ideals trivial extension use them characterize total quotient rings.
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ژورنال
عنوان ژورنال: Journal of Interdisciplinary Mathematics
سال: 2021
ISSN: ['2169-012X', '0972-0502']
DOI: https://doi.org/10.1080/09720502.2021.1876294