For some Maltsev conditions [Formula: see text] it is enough to check if a finite algebra satisfies locally on subsets of bounded size in order decide whether (globally). This local–global property the main known source tractability results for deciding conditions. In this paper, we investigate existence G-term, i.e. an text]-ary term that invariant under permuting its variables according permu...

We present a comparative study of certain invariants defined for group actions and their analogues orbifolds. In particular, we prove that Fadell's equivariant category $G$-spaces coincides with the Lusternik-Schnirelmann orbifolds when is finite.

In this paper, we analyze the covariance kernel of Gaussian process that arises as limit fluctuations linear spectral statistics for Wigner matrices with a few moments. More precisely, study here corresponds to Hermitian independent entries have [Formula: see text] moments text]. We obtain closed form text]-dependent expression limiting resulting from Stieltjes transform by explicitly integrati...

‎This paper develops a basic theory of $H$-groups‎. ‎We‎ ‎introduce a special quotient of $H$-groups and‎ ‎extend some algebraic constructions of topological groups to the category‎ ‎of H-groups and H-maps and then present a functor from this category to the category of quasitopological groups‎.

in addition to exploring constructions and properties of limits and colimits in categories of topologicalalgebras, we study special subcategories of topological algebras and their properties. in particular, undercertain conditions, reflective subcategories when paired with topological structures give rise to reflectivesubcategories and epireflective subcategories give rise to epireflective subc...

these are notes from introductory survey lectures given at the institute for studies in theoretical physics and mathematics (ipm), teheran, in 2008 and 2010. we present the definition and the fundamental properties of fomin-zelevinsky’s cluster algebras. then, we introduce quiver representations and show how they can be used to construct cluster variables, which are the canonical generators of ...