The notions of (G, φ)-crossed product and quasicrossed system are introduced in the setting of (G, φ)-quasiassociative algebras, i.e., algebras endowed with a grading by a group G, satisfying a “quasiassociative” law. It ...

The article deals with the definition of the concept of gender socialization of students, the study of which revealed a variety of formulations and definitions of socialization and its various aspects, in particular gender, ...

Let Γ be the modular group. We extend a non-trivial Γ-invariant equivalence relation on Qb to a general relation by replacing the group Γ0(n) by ΓK(n), and determine the suborbital graph F K u,n, an extended concept of ...

We extend the concept of path-cycles, defined in [2], to the semigroup Pn, of all partial maps on Xn = {1, 2, . . . , n}, and show that the classical decomposition of permutations into disjoint cycles can be extended ...

Semiabelinan flocks and n-ary groups are charac- terized by the properties of parallelograms and vectors of the affine geometry defined by these flocks and n-ary groups.

In this paper, we introduce the notion of globalization for partial module coalgebra and for partial comodule coalgebra. We show that every partial module coalgebra is globalizable exhibiting a standard globalization. We ...

In this paper, we introduce Gram matrices for the signed partition algebras, the algebra of Z2-relations and the par- tition algebras. The nondegeneracy and symmetic nature of these Gram matrices are establised. ...

A subgroup H of a group G is said to be nearly normal, if H has a finite index in its normal closure. These sub- groups have been introduced by B.H. Neumann. In a present paper is studied the groups whose non polycyclic ...

Лінгвістична наукова парадигма XXI століття набула антропоцентричного спрямування. Особливої актуальності набувають питання реконструкції мовної свідомості (індивідуальної, етнічної, суспільної), вивчення природи мовної ...