Zobrazeno 1 - 10
of 19 811
pro vyhledávání: '"JORDAN H"'
Stratifying systems, which have been defined for module, triangulated and exact categories previously, were developed to produce examples of standardly stratified algebras. A stratifying system $\Phi$ is a finite set of objects satisfying some orthog
Externí odkaz:
http://arxiv.org/abs/2208.07808
Let $\mathscr{C}$ be an extriangulated category and $\mathcal{X}$ be a semibrick in $\mathscr{C}$. Let $\mathcal{T}$ be the filtration subcategory generated by $\mathcal{X}$. We introduce the weak Jordan-H\"{o}lder property (WJHP) and Jordan-H\"{o}ld
Externí odkaz:
http://arxiv.org/abs/2208.07005
Autor:
Sebandal, Alfilgen, Vilela, Jocelyn P.
In this article, we prove an isomorphism theorem for the case of refinement $\Gamma$-monoids. Based on this we show a version of the well-known Jordan-H\"older theorem in this framework. The main theorem of this article states that - as in the case o
Externí odkaz:
http://arxiv.org/abs/2111.13922
We investigate how the concepts of intersection and sums of subobjects carry to exact categories. We obtain a new characterisation of quasi-abelian categories in terms of admitting admissible intersections in the sense of Hassoun and Roy. There are a
Externí odkaz:
http://arxiv.org/abs/2006.03505
Autor:
Paták, Pavel
We present a short proof of the Jordan-H\"older theorem with uniqueness for semimodular semilattice: Given two maximal chains in a semimodular semilattice of finite height, they both have the same length. Moreover there is a unique bijection that tak
Externí odkaz:
http://arxiv.org/abs/1908.09912
Autor:
Enomoto, Haruhisa
Publikováno v:
Adv. Math. 396 (2022), Paper No. 108167
We investigate the Jordan-H\"older property (JHP) in exact categories. First, we show that (JHP) holds in an exact category if and only if the Grothendieck monoid introduced by Berenstein and Greenstein is free. Moreover, we give a criterion for this
Externí odkaz:
http://arxiv.org/abs/1908.05446
Autor:
Liu, Qunhua, Yang, Dong
We construct a matrix algebra $\Lambda(A,B)$ from two given finite dimensional elementary algebras $A$ and $B$ and give some sufficient conditions on $A$ and $B$ under which the derived Jordan--H\"older property (DJHP) fails for $\Lambda(A,B)$. This
Externí odkaz:
http://arxiv.org/abs/1704.00398
Autor:
Towers, David A.
The purpose of this paper is to continue the study of chief factors of a Lie algebra and to prove a further strengthening of the Jordan-H\"older Theorem for chief series.
Externí odkaz:
http://arxiv.org/abs/1509.06951
Autor:
Qin, Yongyun
For any positive integer $n$, $n$-derived-simple derived discrete algebras are classified up to derived equivalence. Furthermore, the Jordan-H\"older theorems for all kinds of derived categories of derived discrete algebras are obtained.
Externí odkaz:
http://arxiv.org/abs/1506.08266
Autor:
Natale, Sonia
We prove a version of the Jordan-H\" older theorem in the context of weakly group-theoretical fusion categories. This allows us to introduce the composition factors and the length of such a fusion category C, which are in fact Morita invariants of C.
Externí odkaz:
http://arxiv.org/abs/1506.00250