A BiHom-associative algebra is a (nonassociative) algebra A endowed with two commuting multiplicative linear maps α, β : A → A such that α(a)(bc) = (ab)β(c), for all a, b, c ∈ A. This concept arose in the study of algebras in so-called group Hom-categories. In this paper, we introduce as well BiHom-Lie algebras (also by using the categorical approach) and BiHom-bialgebras. We discuss these new ...

This paper is aimed at establishing some unique common fixed point theorems in complex-valued b -metric space under the rational type contraction conditions for three self-mappings which one self-map continuous. A continuous commutable with other two self-mappings. Our results are verified by suitable examples. Ultimatel...

We show that Novikov-Veselov hierarchy provides a complete family of commuting symmetries two-dimensional O(N) sigma model. In the first part paper we use these to prove Fermi spectral curve for double-periodic model is algebraic. Thus, our previous construction complexified harmonic maps in case irreducible curves complete. second generalize reducible and it gives conformal even-dimensional sp...

BACKGROUND Active transportation has been associated with favorable health outcomes. Previous research highlighted the influence of neighborhood educational level on active transportation. However, little is known regarding the effect of commuting distance on social disparities in active commuting. In this regard, women have been poorly studied. The objective of this paper was to evaluate the r...

The commuting graph of a group is a graph with vertexes set of a subset of a group and two element are adjacent if they commute. The aim of this paper is to obtain the automorphism group of the commuting graph of a conjugacy class in the symmetric groups. The clique number, coloring number, independent number, and diameter of these graphs are also computed.

R is called commuting regular ring (resp. semigroup) if for each x,y $in$ R there exists a $in$ R such that xy = yxayx. In this paper, we introduce the concept of commuting $pi$-regular rings (resp. semigroups) and study various properties of them.

introduction commuting between urban centers and rural areas is a phenomenon that observed in all countries with different social and economic structure. commuting is a new phenomenon in move of population that emerged with metropolis development. this phenomenon is different with other population movement. because this move does not change in residential place, population work in other place. ...