Zobrazeno 1 - 10
of 194
pro vyhledávání: '"16d80"'
Autor:
Mousavand, Kaveh, Paquette, Charles
For finite dimensional algebras over algebraically closed fields, we study the sets of pairwise Hom-orthogonal modules and obtain new results on some open conjectures on the behaviour of bricks and several related problems, which we generally refer t
Externí odkaz:
http://arxiv.org/abs/2407.20877
Autor:
Higuera, Sebastián, Reyes, Armando
In this paper, we study the uniform and couniform dimensions of inverse polynomial modules over skew Ore polynomials.
Comment: 12 pages. arXiv admin note: substantial text overlap with arXiv:2406.19935
Comment: 12 pages. arXiv admin note: substantial text overlap with arXiv:2406.19935
Externí odkaz:
http://arxiv.org/abs/2408.07073
Autor:
Higuera, Sebastián, Reyes, Armando
In this paper, we investigate the attached prime ideals of inverse polynomial modules over skew Ore polynomials.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2406.19935
Autor:
Azarang, Alborz
Let $R$ be a maximal subring of a ring $T$, and $(R:T)$, $(R:T)_l$ and $(R:T)_r$ denote the greatest ideal, left ideal and right ideal of $T$ which are contained in $R$, respectively. It is shown that $(R:T)_l$ and $(R:T)_r$ are prime ideals of $R$ a
Externí odkaz:
http://arxiv.org/abs/2406.12890
In this article, we introduce the notion of regular fusible modules. Let $R$ be a ring with an identity and $M$ an $R$-module. An element $0\neq m\in M$ is said to be regular fusible if there exists $r\in R$, a non zero-divisor of $M$, such that $mr$
Externí odkaz:
http://arxiv.org/abs/2403.13939
Autor:
Seelinger, George F., Zhao, Wenhua
Let $F$ be an algebraically closed field and let $n\geq 3$. Consider $V=F^n$ with standard basis $\{\vec{e}_1,\ldots,\vec{e}_n\}$ and its dual space $V^*= {\mathrm{Hom}}_{F-{\mathrm{lin}}}(V,F)$ with dual basis $\{y_1,\ldots,y_n\}\subseteq V^*$ and l
Externí odkaz:
http://arxiv.org/abs/2402.10378
Autor:
Goodearl, K. R.
The article targets binomial ideals in quantum tori and quantum affine spaces. First, noncommutative analogs of known results for commutative (Laurent) polynomial rings are obtained, including the following: Under the assumption of an algebraically c
Externí odkaz:
http://arxiv.org/abs/2311.15191
Autor:
Ssevviiri, David
This is the second in a series of papers highlighting the applications of reduced and coreduced modules. Let $R$ be a commutative unital ring and $I$ be an ideal of $R$. We give the necessary and sufficient conditions in terms of $I$-reduced and $I$-
Externí odkaz:
http://arxiv.org/abs/2306.12871
Autor:
Kimuli, Philly Ivan, Ssevviiri, David
Publikováno v:
International Electronic Journal of Algebra, 2022
Different and distinct notions of regularity for modules exist in the literature. When these notions are restricted to commutative rings, they all coincide with the well-known von-Neumann regularity for rings. We give new characterizations of these d
Externí odkaz:
http://arxiv.org/abs/2301.02900
Autor:
Asefa Dadi, Xu Qingbing
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 4131-4151 (2024)
Let Δ=ANBAMABB\Delta =\left(\begin{array}{cc}A& {}_{A}N_{B}\\ {}_{B}M_{A}& B\end{array}\right) be a Morita ring, where M⊗AN=0=N⊗BMM{\otimes }_{A}N=0=N{\otimes }_{B}M. Let XX be left AA-module and YY be left BB-module. We prove that (X,M⊗AX,1,0
Externí odkaz:
https://doaj.org/article/6944d2dfdf61403b91ccc6559b5c396c
