Archivum Mathematicum Page 1 Archivum Mathematicum Siamak Yassemi The dual notion
of prime submodules Archivum Mathematicum, Vol. 37 (2001), No. 4, 273--278 Persistent …

THE DUAL NOTION OF MULTIPLICATION MODULES Page 1 TAIWANESE JOURNAL OF
MATHEMATICS Vol. 11, No. 4, pp. 1189-1201, September 2007 This paper is available online …

Let R be a commutative ring and let M be an R-module. In this paper, we study the dual
notion of prime submodules (that is, second submodules of M). Also we introduce the dual …

ABSTRACT A commutative ring is said to have ITI with respect to an ideal 𝔞 if the 𝔞-torsion
functor preserves injectivity of modules. Classes of rings with ITI or without ITI with respect to …

Throughout this paper the rings R and S are commutative with a non-zero identity element
and cp: R-, S is a ring homomorphism. The theory of associated primes is very important in …

Let (R, 𝔪) be a complete noetherian local ring and M a finitely generated R-module of
dimension n and 𝔞 an ideal of R. At first, we find a relation between top local cohomology …

Let R be a (not necessarily Noetherian) commutative ring and let M be a (not necessarily
finitely generated) R-module. We characterize the modules with only finitely many weakly …

The structures of Hopfian and co-Hopfian modules over commutative rings are studied. The
notation of semi Hopfian (resp. semi co-Hopfian) modules as a generalization of that of …

Let R be a commutative ring and let M be an R-module with the property that its zero
submodule has a primary decomposition. Let E be an injective R-module with W. Ass R (E) …

Fairness and centredness of ideals in commutative rings, ie, the relations between
assassins and weak assassins of a module, its small or large torsion submodule, and the …