A module M is called epi-retractable if every submodule of M is a homomorphic image of M. Dually, a module M is called co-epi-retractable if it contains a copy of each of its factor modules. In special case, a ring R is called co-pli (resp. co-pri) if RR (resp. RR) is co-epi-retractable. It is proved that if R is a left principal right duo ring, then every left ideal of R is an epi-retractable ...

In this paper, we present a switch based on coupling and resonance in thegraphene plate and rings operating at 10 THz. This structure consists of several layers ofHexagonal Boron Nitride (hBN), SiO2 and P+Si, such that graphene plates and rings areinside the hBN layer. The terahertz wave is incident from the upper part of the switchand Surface Plasmons (SPs) are excited ...

In this paper, we discuss the hypothesis that an ordered Γ-semigroup can be constructed on M-left(right)-tri-basis. order to generalize left(right)-tri-basis using Γ-semigroups and semigroups, examined M-tri-ideals from a purely algebraic standpoint. We also present form of M-tri-ideal generator. investigated M-left(right)-tri-ideal Γ-semigroup. obtain their properties, used It was possible gen...

We endow the set of real numbers with a family of fuzzy quasi-metrics, in the sense of George and Veeramani, which are compatible with the Sorgenfrey topology. Although these fuzzy quasi-metrics are not deduced explicitly from a quasi-metric, they possess interesting properties related to completeness. For instance, we prove that they are balanced and complete in the sense of Doitchinov and tha...

In this paper we introduced the notions of uni-soft AG-groupoids, uni-soft left(right) ideals and uni-soft quasi ideals of AG-groupoids and also investigated related properties of these structures. Some interesting Characterizations of uni-soft AG-groupoids and uni-soft left(right) ideals have been explored. Mathematics Subject Classification: 42B20, 42B25, 46E30

Celestial diamonds encode the structure of global conformal multiplets in 2D celestial CFT and offer a natural language for describing conformally soft sector. The operators appearing at their left right corners give rise to factorization theorems, bottom correspond conserved charges, top dressings. We show that charges can be expressed terms light ray integrals select modes appropriate weights...

We continue the study of matrices over a supertropical algebra, proving the existence of a tangible adjoint of A, which provides the unique right (resp. left) quasi-inverse maximal with respect to the right (resp. left) quasi-identity matrix corresponding to A; this provides a unique maximal (tangible) solution to supertropical vector equations, via a version of Cramer’s rule. We also describe ...

In this paper we introduce R-right (left), L-left (right) cancellative and weakly R(L)-cancellative semigroups and will give some equivalent conditions for completely simple semigroups, (completely) regular right (left) cancellative semigroups, right (left) groups, rectangular groups, rectangular bands, groups and right (left) zero semigroups according to R-right (left), L-left (right) and weak...

an ideal i of a ring r is called right baer-ideal if there exists an idempotent e 2 r such that r(i) = er. we know that r is quasi-baer if every ideal of r is a right baer-ideal, r is n-generalized right quasi-baer if for each i e r the ideal in is right baer-ideal, and r is right principaly quasi-baer if every principal right ideal of r is a right baer-ideal. therefore the concept of baer idea...

In this paper, we study the dynamics of FitzHugh–Nagumo system $$\dot{x}=z,\;\dot{y}=b\left( x-dy\right) ,\;\dot{z}=x\left( x-1\right) \left( x-a\right) +y+cz$$ having invariant algebraic surfaces. This has four different types The two these classes surfaces have been characterized in Valls (J Nonlinear Math Phys 26:569–578, 2019). Using quasi-homogeneous directional blow-up and Poincaré compac...