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On Square-Difference Factor Absorbing Ideals
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DOI：10.1007/s11587-026-01061-4.png)
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Abstract
En 中文
In [1], the authors introduce the concept of square-difference factor absorbing ideals of a commutative ring R with nonzero identity. An ideal I of R is a square-difference factor absorbing ideal (sdf-absorbing) of R if whenever a(2 )- b(2 )is an element of I for 0 not equal a, b is an element of R, then a + b is an element of I or a - b is an element of I. In this paper, we completely characterize square-difference factor absorbing ideals in terms of their minimal prime ideals. We also give necessary and sufficient conditions on a commutative ring R so that all (nonzero) ideals of R are square-difference factor absorbing.
Keywords:
Square-difference factor absorbing ideals
Minimal prime ideals
Von Neumann regular rings
pi-regular rings
Journal
R
IF:
1.1
Papers:
110
Citations:
0
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