Zobrazeno 1 - 10
of 34 491
pro vyhledávání: '"Rings and Algebras"'
The aim of this paper is to study lattice properties of the sharp partial order for complex matrices having index at most 1. We investigate the down-set of a fixed matrix $B$ under this partial order via isomorphisms with two different partially orde
Externí odkaz:
http://arxiv.org/abs/2412.19671
Given a feature set for the shape of a closed loop, it is natural to ask which features in that set do not change when the starting point of the path is moved. For example, in two dimensions, the area enclosed by the path does not depend on the start
Externí odkaz:
http://arxiv.org/abs/2412.19670
Autor:
Hanihara, Norihiro
We study the category $\mathop{\mathrm{ref}}\Lambda$ of reflexive modules over a two-sided Noetherian ring $\Lambda$. We show that the category $\mathop{\mathrm{ref}}\Lambda$ is quasi-abelian if and only if $\Lambda$ satisfies certain Auslander-type
Externí odkaz:
http://arxiv.org/abs/2412.19625
Autor:
Estaji, Ali Akbar, Taha, Maryam
Let $\mathcal C_{c}(L):= \{\alpha\in \mathcal{R}(L) \mid R_{\alpha} \, \text{ is a countable subset of } \, \mathbb R \}$, where $R_\alpha:=\{r\in\mathbb R \mid {\mathrm{coz}}(\alpha-r)\neq\top\}$ for every $\alpha\in\mathcal R (L).$ By using idempot
Externí odkaz:
http://arxiv.org/abs/2412.19448
Autor:
Nomura, Kazumasa, Terwilliger, Paul
In this paper, we describe the nucleus of the Johnson graph $\Gamma = J(N,D)$ with $N > 2D$. Let $X$ denote the vertex set of $\Gamma$. Let $A \in \text{Mat}_X({\mathbb C})$ denote the adjacency matrix of $\Gamma$. Let $\{E_i\}_{i=0}^D$ denote the $Q
Externí odkaz:
http://arxiv.org/abs/2412.19389
Autor:
Cox, Sean
Deconstructibility is an often-used sufficient condition on a class $\mathcal{C}$ of modules that allows one to carry out homological algebra \emph{relative to $\mathcal{C}$}. The principle \textbf{Maximum Deconstructibility (MD)} asserts that a cert
Externí odkaz:
http://arxiv.org/abs/2412.19380
Let $a,b,c\in R$ where $R$ is a $*$-ring. We call $a$ \textit{left dual $(b,c)$-core invertible} if there exists $x\in Rc$ such that $bxab=b$ and $(xab)^*=xab$. Such an $x$ is called a left dual $(b,c)$-core inverse of $a$. In this paper, characteriz
Externí odkaz:
http://arxiv.org/abs/2412.19276
Autor:
Singh, Lovepreet, Tiwari, S. K.
Let $g$ be an additive map on division ring $D$ and $G_{1}(Y), G_{2}(Y) \neq 0$, $H(Y)$ are generalized polynomials in $D \{Y\}$. In this paper, we study the functional identity $G_{1}(y)g(y)G_{2}(y) = H(y)$. By application of the result and its impl
Externí odkaz:
http://arxiv.org/abs/2412.19223
Autor:
Hanihara, Norihiro
We study graded and ungraded singularity categories of some commutative Gorenstein toric singularities, namely, Veronese subrings of polynomial rings, and Segre products of some copies of polynomial rings. We show that the graded singularity category
Externí odkaz:
http://arxiv.org/abs/2412.19040
Hopf algebras, most generally in a semisimple abelian symmetric monoidal category, are here supposed to be commutative but not to be of finite-type, and their (equivariant) smoothness are discussed. Given a Hopf algebra $H$ in a category such as abov
Externí odkaz:
http://arxiv.org/abs/2412.19038