Let M be a right module over a ring R. In this manuscript, we shall study on a special case of F-inverse split modules where F is a fully invariant submodule of M introduced in [12]. We say M is Z 2(M)-inverse split provided f^(-1)(Z2(M)) is a direct summand of M for each endomorphism f of M. We prove that M is Z2(M)-inverse split if and only if M is a direct...

In this paper, we firstly show that the $N$-dual operation of the right residual implication, which is induced by a left-conjunctive right arbitrary $vee$-distributive left semi-uninorm, is the right residual coimplication induced by its $N$-dual operation. As a dual result, the $N$-dual operation of the right residual coimplication, which is induced by a left-disjunctive right arbitrary $wedge...

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...

We examine, in a general setting, a notion of inverse semigroup of left quotients, which we call left I-quotients. This concept has appeared, and has been used, as far back as Clifford’s seminal work describing bisimple inverse monoids in terms of their right unit subsemigroups. As a consequence of our approach, we find a straightforward way of extending Clifford’s work to bisimple inverse semi...

To every right or left Bol loop corresponds a middle loop. In this paper, the cores of loops (RBL) and its corresponding (MBL) were studied. Their algebraic connections considered. It was shown that core RBL is elastic idempotent. The found to be alternative (or idempotent) if only MBL symmetric. If (left) symmetric, then, medial (semimedial). has inverse property (automorphic property, idempot...

We examine, in a general setting, a notion of inverse semigroup of left quotients, which we call left I-quotients. This concept has appeared, and has been used, as far back as Clifford’s seminal work describing bisimple inverse monoids in terms of their right unit subsemigroups. As a consequence of our approach, we find a straightforward way of extending Clifford’s work to bisimple inverse semi...

fuzzy bi-ideals play an important role in the study of ordered semigroupstructures. the purpose of this paper is to initiate and study theintiuitionistic fuzzy bi-ideals in ordered semigroups and investigate thebasic theorem of intuitionistic fuzzy bi-ideals. to provide thecharacterizations of regular ordered semigroups in terms of intuitionisticfuzzy bi-ideals and to discuss the relationships ...

conclusions chronic smoking caused left ventricular diastolic dysfunction. acute intake caused left and right ventricular diastolic dysfunction. changes persisted up to 30 minutes after smoking, although diastolic blood pressure returned to normal state. objectives the current study aimed to evaluate the acute and chronic effects of smoking on the left and right ventricular (rv) diastolic funct...

Introduction: Medial temporal sclerosis (MTS) is a form of mesial temporal lobe epilepsy (mTLE). It is typically characterized by structural alterations in hippocampus (HC) and related mesial temporal lobe (MTL) network. Resting state functional connectivity (RSFC) is considered an ideal technique in quantifying the dysfunction and maladaptation in MTL network. It is well- dem...