A generalization of injective modules (noted GI-modules), distinct from p-injective modules, is introduced. Rings whose p-injective modules are GI are characterized. If M is a left GI-module, E = End(AM), then E/J(E) is von Neumann regular, where J(E) is the Jacobson radical of the ring E. A is semisimple Artinian if, and only if, every left A-module is GI. If A is a left p. p., left GI-ring su...

Cyclic associative groupoids (CA-groupoids) and Type-2 cyclic (T2CA-groupoids) are two types of non-associative which satisfy law type-2 law, respectively. In this paper, we prove theorems that weak cancellativity is right quasi-cancellativity left in a CA-groupoid, thus successfully solving open problems. Moreover, the relationships among separativity, commutativity CA-groupoid discussed. Fina...

The length and structure of the transitional zone in the tunica media in the renal artery of adult male cats were investigated. In addition, the volume of the lumen and different layers in transitional and nontransitional zones in the right and left sides were also determined. Morphometrical, histological and stereological studies were performed on 16 renal arteries of 8 adult male cats. After ...

Background Diabetes mellitus type I (DMTI) is one of the most common endocrine and metabolic conditions in childhood. We aimed to assess the tissue Doppler imagining changes in children with DMTI compared to healthy children. Materials and Methods This case-control study was performed on 96 DMTI and 96 healthy children. The d...

In this paper, soft intersection LA-semigroups, soft intersection left (right, two-sided) ideals, (generalized) bi-ideals, interior ideals, quasi-ideals in LA-semigroups are defined, their examples and properties are given and their interrelations are obtained.

We develop a computationally less expensive alternative to the direct solution of a large sparse symmetric positive definite system arising from the numerical solution of elliptic partial differential equation models. Our method, substituted factorization , replaces the computationally expensive factorization of certain dense submatrices that arise in the course of direct solution with sparse C...

We study the factorization relations between quasi gluon GPDs and twist-2 GPDs. The perturbative coefficient functions are obtained at one-loop level. They free from any collinear- or I.R. divergences. Unlike case of quark one-loop, we have to add ghost contributions for in order obtain gauge-invariant results. In general, operators will be mixed beyond tree-level. Our work shows that mixing pa...

We study the factorization of quasi generalized quark distributions with twist-2 parton distributions. use an approach which is different than that used in literature. Using we derive relations all at one-loop. The contributions from gluon are included. Our results apply not only to a spin-1/2 hadron but also those any spin.