We combine the language of monoids with preorders so as to refine some fundamental aspects classical theory factorization and prove an abstract theorem a variety applications. In particular, we obtain generalization, from cancellative Dedekind-finite (commutative or non-commutative) monoids, on "atomic factorizations" that traces back work P.M. Cohn in 1960s; recover D.D. Anderson S. Valdes-Leo...

In this paper, we first give a new definition of Ω-Dedekind complete Riesz space (E,≤) in the frame vector metric (Ω,ρ,E) and investigate relation between Dedekind our concept. Moreover, introduce contraction so called α-vector proximal mapping. Then, prove certain best proximity point theorems for such mappings spaces where is space. Thus, time, acquire results on spaces. As result, generalize...

The human monocyte (M phi subset rosetting with anti RH-coated human erythrocytes via high-affinity, 72 kD receptors (FcRI+), contains the PGE2-producing immunosuppressive subpopulation, while the non-rosetting M phi subset (FcRI-) is the major plasminogen activator-producing and antigen-presenting M phi. This study gives additional evidence for the functional disparity of the FcRI- and FcRI+ M...

All rings in this paper are commutative with unity; we will deal mainly with integral domains. Let R be a ring with total quotient ring K. A fractional ideal I of R is invertible if II−1 = R; equivalently, I is a projective module of rank 1 (see, e.g., [Eis95, Section 11.3]). Here, I−1 = (R : I) = {x ∈ K |xI ⊆ R}. Moreover, a projective R-module of rank 1 is isomorphic to an invertible ideal. (...

the present study was conducted to computer social skills of male students with partially hearing impairment (phi ) in integrated versus nonintegrated school settings in tehran, iran. in this ex post facto research, 60 phi students participated(30 students in integrated schools and 30 in nonintegrated schools). in this study two different kinds of educational settings were considered as an inde...

This is a continuation of previous study initiated by one us on nonlocal vertex bialgebras and smash product algebras. In this paper, we notion right $H$-comodule algebra for bialgebra $H$ give construction deformations algebras with structure compatible $H$-module structure. We also $\phi$-coordinated quasi modules As an example, family quantum deforming the associated to non-degenerate even l...