Let A be a Noetherian ring which is graded by a finitely generated Abelian group G. In
general, for G-graded modules there do not exist primary decompositions which are graded …

We prove an analogon of the the fundamental homomorphism theorem for certain classes of
exact and essentially surjective functors of Abel ian categories Q:A→B. It states that Q is up …

We study equivariant resolutions and local cohomologies of toric sheaves for affine toric
varieties, where our focus is on the construction of new examples of indecomposable …

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 …

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 …

For a variety X which admits a Cox ring, we introduce a functor from the category of quasi-
coherent sheaves on X to the category of graded modules over the homogeneous …

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 …