In this paper, we introduce the notion of (i-v) fuzzy (weakly) completely regular subsemigroup of a semigroup S and study their different properties. We show that every (i-v) fuzzy completely regular subsemigroup of a semigroup S is a union of (i-v) fuzzy subgroups of S. We also characterize (i-v) fuzzy completely regular subsemigroup by (i-v) fuzzy semilattice of (i-v) fuzzy subgroups. 2010 AM...

For an affine algebraic variety X, we study the subgroup Autalg(X) of group regular automorphisms Aut(X) X generated by all connected subgroups. We prove that is nested, i.e., a direct limit subgroups Aut(X), if and only

conclusions: anthropometric, biochemical, and ultrasonographic findings showed significant differences among pcos subgroups. the pcos subgroups with regular menstrual cycles (ha+pco), had high insulin resistance (ir) and gonadotropic hormonal abnormalities, compared with the im+ha+pco subgroups and controls. results: the pcos subgroups with regular menstrual cycles (ha+pco), had more luteinizin...

We investigate positive-dimensional closed reductive subgroups of almost simple algebraic groups containing a regular unipotent element. Our main result states that such do not lie inside proper parabolic unless possibly when their connected component is torus. This extends the earlier Testerman and Zalesski treating subgroups.

The input, processing, and output characteristics of inhibitory interneurons help shape information flow through layers 2/3 of the visual cortex. Parvalbumin (PV)-positive interneurons modulate and synchronize the gain and dynamic responsiveness of pyramidal neurons. To define the diversity of PV interneurons in layers 2/3 of the developing visual cortex, we characterized their passive and acti...

Most regular expression matching engines have operators and features to enhance the succinctness of classical regular expressions, such as interval quantifiers and regular lookahead. In addition, matching engines in for example Perl, Java, Ruby and .NET, also provide operators, such as atomic operators, that constrain the backtracking behavior of the engine. The most common use is to prevent ne...

The main result of the current paper is a new parametrization of the orbits of a symmetric subgroup K on a partial flag variety P . The parametrization is in terms of certain Spaltenstein varieties, on one hand, and certain nilpotent orbits, on the other. One of our motivations, as explained below, is related to enumerating special unipotent representations of real reductive groups. Another mot...

Article history: Received 19 October 2007 Available online 16 April 2008 Communicated by Charles J. Colbourn