A semi-dualizing module over a commutative noetherian ringA is a finitely generated module C with RHomA(C,C) ≃ A in the derived category D(A). We show how each such module gives rise to three new homological dimensions which we call C–Gorenstein projective, C–Gorenstein injective, and C–Gorenstein flat dimension, and investigate the properties of these dimensions.

The tool used to convert sunlight into electrical energy and increase the temperature of solar cells is called a Solar Panel.To energy, photovoltaic modules are needed. One aspect that effects intensity light. influential aspects conversion light intensity. this directly proportional value energy. greater intensity, produced by panel vice versamore more gets versa. will be optimal when exposed ...

The aim of this paper was to study the applicability of the release module assemblage technology for an adaptable control of drug delivery rate and site. The elementary release module was a swellable matrix having one base convex and the other concave, named Dome Matrix. The swelling and release behavior of the release module was studied. The presence of the convex and concave bases in the swel...

The Flat Wall Theorem of Robertson and Seymour states that there is some function f , such that for all integers w, t > 1, every graph G containing a wall of size f(w, t), must contain either (i) a Kt-minor; or (ii) a small subset A ⊂ V (G) of vertices, and a flat wall of size w in G \ A. Kawarabayashi, Thomas and Wollan recently showed a self-contained proof of this theorem with the following ...

In this paper, a new construction of vertex algebras from more general vertex operators is given and a notion of quasi module for vertex algebras is introduced and studied. More specifically, a notion of quasi local subset(space) of Hom (W,W ((x))) for any vector space W is introduced and studied, generalizing the notion of usual locality in the most possible way, and it is proved that on any m...

comin the present study, co2 removal from natural gas stream has been studied using a flat sheet membrane contactor. a three dimensional mathematical model is developed to describe the process. the model considers the transport of a gas mixture containing carbon dioxide and methane through a flat sheet membrane contactor module. the model is based on the non-wetted mode of operation, in which t...

By Langlands duality one usually understands a correspondence between automorphic representations of a reductive group G over the ring of adels of a field F , and homomorphisms from the Galois group Gal(F/F ) to the Langlands dual group GL. It was originally introduced in the case when F is a number field or the field of rational functions on a curve over a finite field [1]. Recently A. Beilins...