Let [Formula: see text] be a nonempty set and let the full transformation semigroup on text]. The main objective of this paper is to study subsemigroup defined by where fixed subset We describe regular elements in text], show that if only finite. characterize unit-regular prove Green’s relations also determine ideals investigate its kernel. This extends several results have appeared literature.

Recent evidence has shown that older adults fail to show adaptation in the right fusiform gyrus (FG) to the same face presented repeatedly, despite accurate detection of the previously presented face. We used functional magnetic resonance imaging to investigate whether this phenomenon is associated with age-related reductions in face specificity in brain activity and whether older adults compen...

Both gastric adenocarcinoma of fundic gland type (ADC-FG) and carcinoma with lymphoid stroma (lymphoepithelioma-like carcinoma, LELC) are relatively rare. Epstein-Barr virus (EBV) has been implicated in the pathogenesis of LELC. However, the pathogenesis of ADC-FG, as well as the role of EBV in the carcinogenesis of LELC, remain unclear and under debate. The current study presents a case of con...

Recent studies showed that P-glycoprotein (P-gp) increases the portal bioavailability (FG) of loperamide by sparing its intestinal first-pass metabolism. Loperamide is a drug whose oral absorption is strongly attenuated by intestinal P-gp-mediated efflux and first-pass metabolism by cytochrome P450 3A (CYP3A). Here the effect of the interplay of P-gp and Cyp3a in modulating intestinal first-pas...

In this paper, a new  algorithm for computing secondary invariants of  invariant rings of monomial groups is presented. The main idea is to compute simultaneously a truncated SAGBI-G basis and the standard invariants of the ideal generated by the set of primary invariants.  The advantage of the presented algorithm lies in the fact that it is well-suited to complexity analysis and very easy to i...

This paper introduces the concept of Fg-metric Space. We generalize G-metric space. Some supporting examples are given.

'We int¡oduce recursively invariant p-recursion theory as a new approach towards recursion theory on an arbitrary limit ordinal É. We follow Friedman and Sacks and call a subset of BB-recursively enumerable if it is.Xr-definable over Lu. Since Friedman-Sacks'notion of a p-finite set is not invariant under p-recursive permutations of p we turn to a different notion. Under all possible invariant ...

Let X be a complex manifold, π:E→X locally trivial holomorphic fibration with fiber F, and (g,〈•,•〉) Lie algebra an invariant symmetric form. We associate to this data prefactorization Fg,π on in the formalism of Costello-Gwilliam. When X=C, g is simple, F smooth affine variety, we extract from vertex which vacuum module for universal central extension g⊗H0(F,O)[z,z−1]. As special case, when al...

Given a finitely generated (fg) group G, the set R(G) of homomorphisms from G to SL 2 C inherits the structure of an algebraic variety known as the representation variety of G in SL 2 C. This algebraic variety is an invariant of fg presentations of G. Call a group G parafree of rank n if it shares the lower central sequence with a free group of rank n, and if it is residually nilpotent. The dev...