Square-Difference Factor Absorbing Ideals of a Commutative Ring
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DOI: 10.1142/s0219498826501987
Abstract: Let $R$ be a commutative ring with $1 \neq 0$. A proper ideal $I$ of $R$ is a {\it square-difference factor absorbing ideal} (sdf-absorbing ideal) of $R$ if whenever $a^2 - b^2 \in I$ for… read more here.
Keywords: commutative ring; absorbing ideals; factor absorbing; square difference ... See more keywords
On 2-absorbing ideals of generalized power series rings
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DOI: 10.1142/s0219498826502221
Abstract: In this paper, we study 2-absorbing ideals of generalized power series rings. As a main theorem, it is proved that under suitable conditions on a ring [Formula: see text] and a monoid [Formula: see text],… read more here.
Keywords: see text; absorbing ideals; series; series rings ... See more keywords
On 2-absorbing ideals of MV-algebras
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DOI: 10.2298/fil2509941m
Abstract: The concept of 2-absorbing ideals in MV-algebras, which generalizes the notion of prime ideals, is introduced in this paper. We present several results related to 2-absorbing ideals, provide examples, and explore some of properties. One… read more here.
Keywords: prime ideals; absorbing ideals; algebra; absorbing ideal ... See more keywords
Graded Weakly 2-Absorbing Ideals over Non-Commutative Graded Rings
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DOI: 10.3390/sym14071472
Abstract: Let G be a group and R be a G-graded ring. In this paper, we present and examine the concept of graded weakly 2-absorbing ideals as in generality of graded weakly prime ideals in a… read more here.
Keywords: absorbing ideals; weakly absorbing; graded weakly; commutative graded ... See more keywords