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by a quasi-permutation matrix we mean a square matrix over the complex field c with non-negative integral trace. thus, every permutation matrix over c is a quasipermutation matrix. for a given finite group g, let p(g) denote the minimal degree of a faithful permutation representation of g (or of a faithful representation of g by permutation matrices), let q(g) denote the minimal degree of a fai...

To a hyperbolic smooth curve defined over a number-field one naturally associates an "anabelian" representation of the absolute Galois group of the base field landing in outer automorphism group of the algebraic fundamental group. In this paper, we introduce several deformation problems for Lie-algebra versions of the above representation and show that, this way we get a richer structure than t...

The article analyzes mental representations of Russian lyrical prose texts. The texts demonstrate collective memory engrams that are defined by cultural and historical legacy of the nation and authors’ creative world perception. In architectonics of a lyrical prose text, sense perception reveals itself in accumulated underlying meanings and wisdom conveyed by expressive means. The author’s inte...

background: illness representations (based on leventhal's model) are associated with chronic illness outcomes. it has been suggested that targeting these cognitive components improves illness outcomes. multiple sclerosis is a common disorder between neural and immune systems that creates physical and psychological consequences. there are few pre psychological trails on these patients. the aim o...

in this paper the concept of an $omega$- almost boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $omega$- almost boolean ring over a locally boolean space.

Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.  

Let G be a finite group and C(G) be the family of representative conjugacy classes of‎ ‎subgroups of G‎. ‎The matrix whose H,K-entry is the number of ‎fixed points of the set G/K under the action of H is called the‎ ‎table of marks of G where H,K run through all elements in‎ C(G)‎. Shinsaku Fujita for the first time introduced the term “markaracter” to discuss marks for permutation representati...

yahyaal-samawi, iraqi poet, is one of the most prominent figures of resistance literature and contemporary arabic poetry. al-samawi defended his motherland with his poems, and in this course he went through torture, adversary, and moving out of his land. he started writing his resistance poems during ba’athist rule in iraq under saddam. he played an important role in opposing saddamists’ misgui...

Islamophobia’s occurrence in any particular country has little do with the presence of Muslim; it is possible to be Islamophobic when there are virtually no Muslim around. This because the lack of Muslims is filled by the surplus of Islamophobic representations. This surplus of representations is now increasingly reliant on the internet. There are many studies reporting on Islamophobia on the i...