Modules Over Arbitrary Domains.
Modules over arbitrary domains II
Moduln, die in jeder Erweiterung ein Komplement haben.
More on the strongly 1-absorbing primary ideals of commutative rings
Let be a commutative ring with identity. We study the concept of strongly 1-absorbing primary ideals which is a generalization of -ideals and a subclass of -absorbing primary ideals. A proper ideal of is called strongly 1-absorbing primary if for all nonunit elements such that , it is either or . Some properties of strongly 1-absorbing primary ideals are studied. Finally, rings over which every semi-primary ideal is strongly 1-absorbing primary, and rings over which every strongly...
Multigraded modules.
Multiplication modules and homogeneous idealization.
Multiplication modules and homogeneous idealization. II.
Multiplication modules and homogeneous idealization. III.
Multiplication modules and related results
Let be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication -module (see [8], [12] and [3]).