A bstract We investigate an Alternative Left-Right Model (ALRM) with SU(2) L as well R gauge groups, but unlike the traditional left-right symmetric models (LRSM) is not under exchange of fermion content. Interestingly, it can be embedded in E 6 , while its low energy Higgs structure resembles LRSM, involving doublets χ L,R and one bidoublet Φ. analyze scalar potential vacuum theory analyticall...

0. Introduction 1 1. Quasideterminants and Quasiminors 3 1.1. Definition of quasideterminants 3 1.2. Elementary properties of quasideterminants 4 1.3. Noncommutative Sylvester formula 5 1.4. Quasi-Plücker coordinates and Gauss LDU -factorization 5 1.5. Positive quasiminors 6 2. Basic factorizations in GLn(F) 7 3. Examples 11 3.1. A factorization in the Borel subgroup of GL3(F) 11 3.2. A factori...

This paper is the second part of a new proof Bel’tyukov–Lipshitz theorem, which states that existential theory structure $$\left\langle {\mathbb{Z};0,1, + , - \leqslant ,|{\kern 1pt} } \right\rangle $$ decidable. We construct quasi-quantifier elimination algorithm (the notion was introduced in first proof) to reduce decision problem for ,{\text{GCD}}} positive {{{\mathbb{Z}}_{{ > 0}}};1,{{{\{ a...

in this paper, we apply the biswas’ idea of anti fuzzy subgroups toideals of near-rings. we introduce the notion of anti fuzzy ideals of near-rings,and investigate some related properties.

The functor between operadic algebras given by restriction along an operad map generally has a left adjoint. We give necessary and sufficient condition for the to admit right is factorization axiom which roughly says that operations in codomain can be written essentially uniquely as arity one followed domain operad.

We introduce the class of $(M, k)$-quasi-$*$-paranormal operators on a Hilbert space $H$. This extends classes $*$-paranormal and $k$-quasi-$*$-paranormal operators. An operator $T$ complex is called if there exists $M>0$ such that \begin{equation*} \sqrt{M}\left\Vert T^{k+2}x\right\Vert \left\Vert T^{k}x\right\Vert \geq T^{\ast }T^{k}x\right\Vert ^{2} \end{equation*} for all $x\in H.$ In prese...

Considering a frame L, we introduce the notions of stratified L-semi-topological neighborhood group, stratified L-quasi-topological neighborhood group, and stratified L-quasi-bi-topological neighborhood group. In so doing, we look at the notion of stratified L-right (left) semi-topological neighborhood group, provide some basic facts, and present a construction of a stratified L-right semi-topo...

In a general algebraic framework, starting with a bicoprime factorization P = N,,DINpl, we obtain a right-coprime factorization N D -*, a left-coprime factorization D;’mPp, and the generalized Bezout idPen&ies associated with the pairs ( N p , 0,) and ( D p , mp). We express the set of all H-stabilizing compensators for P in the unity-feedback configuration S ( P , C) in terms of (N,,, D , N,,)...

The aim of this short note is to introduce the concepts of prime and semiprime ideals in ordered AG-groupoids with left identity. These concepts are related to the concepts of quasi-prime and quasi-semiprime ideals, play an important role in studying the structure of ordered AG-groupoids, so it seems to be interesting to study them.