Let A be a commutative Noetherian ring which is graded by a finitely generated Abelian
group G. In this article, we introduce G-graded primary submodules and G-graded P-primary …

We study global primary decompositions in the category of sheaves on a scheme which are
equivariant under the action of an algebraic group. We show that equivariant primary …

In this paper, we study the structure of the skew polynomial ring R=(𝔽 p+ u 𝔽 p)[x; 𝜃] and its
quotient ring R n= R/〈 xn− 1〉, where p is an odd prime number, u 2= 0, and 𝜃 (u)=− u. We …

Group graded associated ideals with flat base change of rings and short exact sequences Page 1
Proc. Indian Acad. Sci. (Math. Sci.) Vol. 121, No. 2, May 2011, pp. 111–120. c Indian Academy of …

Let G be a flat finite-type group scheme over a scheme S, and X a noetherian S-scheme on
which G acts. We define and study G-prime and G-primary G-ideals on X and study their …

Let $ G $ be a finitely generated abelian group and $ M $ be a $ G $-graded $ A $-module.
In general, $ G $-associated prime ideals to $ M $ may not exist. In this paper, we introduce …

In this paper, we introduce the notion of graded Prüfer domain as a generalization of Prüfer
domain to the graded case. We generalize several types of prime ideals associated to a …

Let G be an abelian group and S a given multiplicatively closed subset of a commutative G-
graded ring consisting of homogeneous elements. In this paper, we introduce G-graded S …

In this paper, we study the structure of Rn=(Fp+ uFp)[Zn;] where u2= 0 and (u)=− u. As a
main result, we prove that this group ring is not Laskerian. Also, we classify the maximal …

In this paper, we introduce the notion of graded Prüfer domain as a generalization of Prüfer
domain to the graded case. We generalize several types of prime ideals associated to a …