4 papers
On the Subcategories of n-Torsionfree Modules and Related Modules
Souvik Dey, Ryo Takahashi
Let R be a commutative noetherian ring. Denote by mod R the category of finitely generated R-modules. In this paper, we study n-torsionfree modules in the sense of Auslander and Br…
Commutative rings with every non-maximal ideal finitely generated
Souvik Dey
In commutative ring theory, there is a theorem of Cohen which states that if in a commutative ring all prime ideals are finitely generated then every ideal is finitely generated. H…
Commutative rings over which the support of any module is the collection of prime ideals containing the annihilator
Souvik Dey
The support of any module over a commutative ring is defined as the collection of all prime ideals of the ring at which the localization of the module is non-zero. For finitely gen…
Classification of Rings which admits some special type of Polynomial functions
Souvik Dey
We know that for a finite field , every function on can be given by a polynomial with coefficients in . What about the converse? i.e. if is a ring (not necessarily co…