Regular idempotents in $\beta S$

The effect of regular aerobic training on beta cell function and serum insulin in sedentary male\'s smoker

Previous studies have shown that nicotine can affect beta cell function and insulin secretion in cigarette smokers. The aim of present study was to evaluate the effect of 10 weeks aerobic exercise on insulin and beta cell function in smokers. In this semi-experimental study with pre and post-training design, a total of 36 adult smoker men aged 41±2.5 years were selected into either exerc...

Distance-regular graphs, pseudo primitive idempotents, and the Terwilliger algebra

Let Γ denote a distance-regular graph with diameter D ≥ 3, intersection numbers ai, bi, ci and Bose-Mesner algebra M. For θ ∈ C ∪∞ we define a 1 dimensional subspace of M which we call M(θ). If θ ∈ C then M(θ) consists of those Y in M such that (A−θI)Y ∈ CAD, where A (resp. AD) is the adjacency matrix (resp. Dth distance matrix) of Γ. If θ = ∞ then M(θ) = CAD. By a pseudo primitive idempotent f...

Various kinds of regular injectivity for $S$-posets

‎In this paper some properties of weak regular injectivity for $S$-posets‎, ‎where $S$ is a pomonoid‎, ‎are studied‎. ‎The behaviour‎ ‎of different kinds of weak regular injectivity with products‎, ‎coproducts and direct sums is considered‎. ‎Also‎, ‎some‎ ‎characterizations of pomonoids over which all $S$-posets are of‎ ‎some kind of weakly regular injective are obtained‎. ‎Further‎, ‎we‎ ‎giv...

Central Idempotents in Group Algebras

Idempotents in Group Algebras

In this survey we collect and present the classical and some recent methods to compute the primitive (central) idempotents in semisimple group algebras. MSC 2010. 20C05, 20C15, 16S34, 16U60.