TY  - JOUR
TI  - Stability in Commutative Rings
AB  - Let R be a commutative ring with zero-divisors and I an ideal of R. I is said to be ES-stable if JI = $I^2$for some invertible ideal J ⊆ I , and I is said to be a weakly ES-stable ideal if there is an invertible fractional ideal J andan idempotent fractional ideal E of R such that I = JE . We prove useful facts for weakly ES-stability and investigatethis stability in Noetherian-like settings. Moreover, we discuss a question of A. Mimouni on locally weakly ES-stablerings: is a locally weakly ES-stable domain of finite character weakly ES-stable?
AU  - AY SAYLAM, Başak
DO  - 10.3906/mat-1911-101
PY  - 2020
JO  - Turkish Journal of Mathematics
VL  - 44
IS  - 3
SN  - 1300-0098
SP  - 801
EP  - 812
DB  - TRDizin
UR  - http://search/yayin/detay/338641
ER  -