Let R be a ring. A right R-module is said to C-flat if the kernel of any epimorphism B → C-pure in B, i.e. induced map Hom(C,B) Hom(C,A) surjective for cyclic C. Projective modules are and weakly-flat neat-flat. In this article, it discussed connections between C-flat, weakly-flat, neat-flat singly flat modules. It shown that coincide with singly-projective over arbitrary rings. Next, several c...

3-dimensional BF theory with gauge group $G$ (= Chern-Simons non-compact $TG$) is a deceptively simple yet subtle topological theory. Formally, its partition function sum/integral over the moduli space $\mathcal{M}$ of flat connections, weighted by Ray-Singer torsion. In practice, however, this formal expression almost invariably singular and ill-defined. order to improve upon this, we perform ...

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...

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...