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The full description of the stable factor-representations of the infinite hyperoctahedral group up to quasi-equivalence obtained.

Representation Theory · Mathematics 2024-03-12 N. I. Nessonov

Let $\mathcal{C}=(\mathcal{C},\mathbb{E},\mathfrak{s})$ be an extriangulated category with a proper class $\xi$ of $\mathbb{E}$-triangles. In this paper, we introduce and study quasi-resolving subcategories in $\mathcal{C}$. More precisely,…

Category Theory · Mathematics 2025-12-12 Zhenggang He , Longfu Shi , Shuangyan Li

We introduce the notions of almost positively closed models and positive strong amalgamation property. We study the fundamental properties of these notions and develop some interactions between them.

Logic · Mathematics 2022-12-05 Mohammed Belkasmi

First examples of quasi-exactly solvable models describing spin-orbital interaction are constructed. In contrast with other examples of matrix quasi-exactly solvable models discussed in the literature up to now, our models admit (but still…

High Energy Physics - Theory · Physics 2007-05-23 Alexander Ushveridze

We give characterizations of (quasi-)plurisubharmonic functions in terms of $L^p$-estimates of $\bar\partial$ and $L^p$-extensions of holomorphic functions.

Complex Variables · Mathematics 2021-05-11 Fusheng Deng , Jiafu Ning , Zhiwei Wang

We examine the correspondence between the various notions of quasirandomness for k-uniform hypergraphs and sigma-algebras related to measurable hypergraphs. This gives a uniform formulation of most of the notions of quasirandomness for…

Combinatorics · Mathematics 2014-04-16 Henry Towsner

Let $R$ be a commutative ring with a non-zero identity, $S$ be a multiplicatively closed subset of $R$ and $M$ be a unital $R$-module. In this paper, we define a submodule $N$ of $M$ with $(N:_{R}M)\cap S=\emptyset$ to be weakly $S$-primary…

Commutative Algebra · Mathematics 2022-03-29 Ece Yetkin Celikel , Hani A. Khashan

A subalgebra $B$ of a Leibniz algebra $L$ is called a weak c-ideal of $L$ if there is a subideal $C$ of $L$ such that $L=B+C$ and $B\cap C\subseteq B_{L}$ where $B_{L}$ is the largest ideal of $L$ contained in $B.$ This is analogous to the…

Rings and Algebras · Mathematics 2023-03-02 David A. Towers , Zekiye Ciloglu

In this paper, we consider surfaces in 4--dimensional pseudo--Riemannian space--forms with index 2. First, we obtain some of geometrical properties of such surfaces considering their relative null space. Then, we get classifications of…

Differential Geometry · Mathematics 2019-10-30 Burcu Bektaş Demirci , Nurettin Cenk Turgay

We define a pseudo quasi-3 design as a symmetric design with the property that the derived and residual designs with respect to at least one block are quasi-symmetric. Quasi-symmetric designs can be used to construct optimal self…

Combinatorics · Mathematics 2008-04-11 Carl Bracken

The purpose of the paper is to introduce and study a new class of operators on semi-Hilbertian spaces i.e.; spaces generated by positive semidefinite sesquilinear forms. Let H be a Hilbert space and let A be a positive bounded operator on H…

General Mathematics · Mathematics 2019-12-09 Samir Al Mohammady , Sid Ahmed Ould Beinane , Sid Ahmed O. Ahmed Mahmoud

The object of the present paper is to study 3-dimensional conformally flat quasi-Para-Sasakian manifolds. First, the necessary and sufficient conditions are provided for 3-dimensional quasi-Para-Sasakian manifolds to be conformally flat.…

Differential Geometry · Mathematics 2018-07-17 Irem Kupeli Erken

Quasi-Boolean algebras were introduced as the generalization of Boolean algebras in the setting of quantum computation logic. In this paper, we investigate the completeness and congruences of quasi-Boolean algebras. First, we discuss the…

Logic · Mathematics 2025-10-28 Xiaohao Liu , Heyan Wang , Wenjuan Chen

We first reconsider the mathematical background of superqubit theory and describe important peculiarities of superspaces and supermatrices which are usually out of attention. Then we study states in super Hilbert spaces using…

Quantum Physics · Physics 2024-08-12 Steven Duplij , Raimund Vogl

We compute the associated prime ideals of the normalization modulo the ring, and establish connections between different types of generalizations (resp. specializations) of the normalization. This has some applications. For example, we…

Commutative Algebra · Mathematics 2024-01-26 Mohsen Asgharzadeh

We define a reasonably well-behaved class of ultraimaginaries, i.e.\ classes modulo invariant equivalence relations, called {\em tame}, and establish some basic simplicity-theoretic facts. We also show feeble elimination of supersimple…

Logic · Mathematics 2014-03-24 Frank Olaf Wagner

We discuss some aspects of the theory of subelliptic estimates.

Complex Variables · Mathematics 2009-06-02 David W. Catlin , John P. D'Angelo

In this article we study the behavior of strongly singular integrals associated to three different, albeit equivalent, quasi-norms on Heisenberg groups; these quasi-norms give rise to phase functions whose mixed Hessians may or may not drop…

Classical Analysis and ODEs · Mathematics 2007-05-23 Norberto Laghi , Neil Lyall

All subalgebras, idempotents, left(right) ideals and left quasi-units of two-dimensional algebras are described. Classification of algebras with given number of subalgebras, left(right) ideals are provided. In particular, a list of…

Rings and Algebras · Mathematics 2019-10-11 H. Ahmed , U. Bekbaev , I. Rakhimov

We introduce a notion of quasi-weak equivalences associated with weak-equivalences in an exact category. It gives us a delooping for (idempotent complete) exact categories and a condition that the negative $K$-group of an exact category…

K-Theory and Homology · Mathematics 2010-09-24 Toshiro Hiranouchi , Satoshi Mochizuki
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