certain algebraic invariants of the integral group ring zg of a group g were introduced and investigated in relation to the problem of extending the farrell-tate cohomology, which is defined for the class of groups of finite virtual cohomological dimension. it turns out that the finiteness of these invariants of a group g implies the existence of a generalized farrell-tate cohomology for g whic...

let $r$ be a commutative noetherian ring with non-zero identity and $fa$ an ideal of $r$. let $m$ be a finite $r$--module of finite projective dimension and $n$ an arbitrary finite $r$--module. we characterize the membership of the generalized local cohomology modules $lc^{i}_{fa}(m,n)$ in certain serre subcategories of the category of modules from upper bounds. we define and study the properti...

Tumefactive demyelinating lesions are a rare presentation of multiple sclerosis (MS). Diagnosis of tumefactive is commonly carried out using magnetic resonance image (MRI). Tumefactive diagnosis is difficult because of may similar to the clinical and MRI characteristics of glioma or a cerebral abscess. We presented a 35-years-old female with one episode of secondary generalized seizure after de...

Generalized inverses of tensors play increasingly important roles in computational mathematics and numerical analysis. It is appropriate to develop the theory generalized within algebraic structure a ring. In this paper, we study different over commutative ring noncommutative Several examples are provided support theoretical results. We also propose algorithms for computing inner inverses, Moor...

Density functional theory (DFT) methods have been applied to study C(32) fullerenes built from four-, five-, and six-membered rings. The relative energies of pure C(32) fullerenes have been evaluated to locate three most stable structures, 32:D(4d) with two squares, 1:D(3) without square and 5:C(s) with one square. Structural analysis reveals that there is a rearrangement pathway between the lo...