Safety analysis has been done for the torsion of a functionally graded thick-walled  circular cylinder under internal and external pressure subjected to thermal loading. In order to determine stresses the concept of Seth’s transition theory based on generalized principal strain measure has been used. This theory simplifies the set of mechanical equations by mentioning the order of the measure of...

We study t-structures generated by sets of objects which satisfy a condition weaker than the compactness. also weight structures cogenerated satisfying dual condition. Under some appropriate hypothesis, it turns out that structure is right adjacent to t-structure.

let $r$ be a commutative ring and $m$ be an $r$-module with $t(m)$ as subset,   the set of torsion elements. the total graph of the module denoted   by $t(gamma(m))$, is the (undirected) graph with all elements of   $m$ as vertices, and for distinct elements  $n,m in m$, the   vertices $n$ and $m$ are adjacent if and only if $n+m in t(m)$. in this paper we   study the domination number of $t(ga...

Let Q be an affine semigroup generating Z, and fix a finitely generated Z -graded module M over the semigroup algebra k[Q] for a field k. We provide an algorithm to compute a minimal Z-graded injective resolution of M up to any desired cohomological degree. As an application, we derive an algorithm computing the local cohomology modulesH I(M) supported on any monomial (that is, Z -graded) ideal...

We study orbifold group actions on fields, which are defined on each local patch, upon M-theory branes in a three-form C-fields background. We derive some constraints from the consistency of the orbifold group actions and show the probability of the existence of M-theory discrete torsion for the fields on the worldvolume and its features. March 2001 † [email protected]

In this article we shall outline a derivation of the analogue of discrete torsion for the M-theory three-form potential. We find that some of the differences between orbifold group actions on the C field are classified by H(Γ, U(1)). We also compute the phases that the low-energy effective action of a membrane on T 3 would see in the analogue of a twisted sector, and note that they are invarian...