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- W2187150042 abstract "Let M be a module over the commutative ring R. In this paper we introduce two new notions, namely strongly coprimal and super coprimal modules. Denote by ZR(M) the set of all zero-divisors of R on M. M is said to be strongly coprimal (resp. super coprimal) if for arbitrary a;b 2 ZR(M) (resp. every flnite subset F of ZR(M)) the annihilator of fa;bg (resp. F) in M is non-zero. In this paper we give some results on these classes of modules. Also we provide a relationship between the families of coprimal, strongly coprimal and super coprimal modules. We prove that if M is a coprimal module of flnite Goldie dimension over a commutative ring, then M is super coprimal. Finally we show that every" @default.
- W2187150042 created "2016-06-24" @default.
- W2187150042 creator A5039980083 @default.
- W2187150042 date "2010-01-01" @default.
- W2187150042 modified "2023-09-24" @default.
- W2187150042 title "NOTES ON ANNIHILATOR CONDITIONS IN MODULES OVER COMMUTATIVE RINGS" @default.
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