Graded weakly 1-absorbing prime ideals

نویسندگان

چکیده

In this paper, we introduce and study graded weakly 1-absorbing prime ideals in commutative rings. Let \(G\) be a group \(R\) \(G\)-graded ring with nonzero identity \(1\neq0\). A proper ideal \(P\) of is called if for each nonunits \(x,y,z\in h(R)\) \(0\neq xyz\in P\), then either \(xy\in P\) or \(z\in P\). We give many properties characterizations ideals. Moreover, investigate under homomorphism, factor ring, rings fractions, idealization.

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ژورنال

عنوان ژورنال: Cubo

سال: 2022

ISSN: ['0716-7776', '0719-0646']

DOI: https://doi.org/10.56754/0719-0646.2402.0291