Zobrazeno 1 - 10
of 119
pro vyhledávání: '"16L30"'
Autor:
Krasula, Dominik
A left and right noetherian semiperfect ring R is known to be indecomposable if and only if its factor by the second power of Jacobson radical is. This characterisation is used to study simple R-modules in terms of their Ext groups. It is shown that
Externí odkaz:
http://arxiv.org/abs/2406.13582
Autor:
Adachi, Takahide, Tsukamoto, Mayu
In this paper, we give a sufficient condition for Morita context rings to be quasi-hereditary. As an application, we show that each block extension of a quasi-hereditary ring is also quasi-hereditary.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2306.14223
Autor:
Bennett-Tennenhaus, Raphael
For a path algebra over a noetherian local ground ring, the notion of an admissible ideal was defined by Raggi-C{\'a}rdenas and Salmer{\'o}n. We provide sufficient conditions for admissibility and use them to study semiperfect module-finite algebras
Externí odkaz:
http://arxiv.org/abs/2305.12885
Autor:
Sagar, Vidya, Sarma, Ritumoni
In this article, we construct linear codes over the commutative non-unital ring $I$ of size four. We obtain their Lee-weight distributions and study their binary Gray images. Under certain mild conditions, these classes of binary codes are minimal an
Externí odkaz:
http://arxiv.org/abs/2305.08781
Autor:
Sagar, Vidya, Sarma, Ritumoni
There are exactly two non-commutative rings of size $4$, namely, $E = \langle a, b ~\vert ~ 2a = 2b = 0, a^2 = a, b^2 = b, ab= a, ba = b\rangle$ and its opposite ring $F$. These rings are non-unital. A subset $D$ of $E^m$ is defined with the help of
Externí odkaz:
http://arxiv.org/abs/2304.06758
In this paper a simple right R-module S over a ring R is called hypersimple if its injective hull E(S) is cyclic, and a ring R is called right hypersimple if every simple right R-module is hypersimple. We initiate a study of these new notions, and re
Externí odkaz:
http://arxiv.org/abs/2302.03974
Autor:
Liu, Jifen, Wei, Jiaqun
Let $R$ be a perfect ring and $T$ be an $R$-module. We study characterizations of sincere modules, sincere silting modules and tilting modules in terms of various vanishing conditions. It is proved that $T$ is sincere silting if and only if $T$ is pr
Externí odkaz:
http://arxiv.org/abs/2211.03559
Autor:
Shah, Amit
Publikováno v:
Expo. Math. 41(1):220-237 (2022)
An additive category in which each object has a Krull-Remak-Schmidt decomposition -- that is, a finite direct sum decomposition consisting of objects with local endomorphism rings -- is known as a Krull-Schmidt category. A Hom-finite category is an a
Externí odkaz:
http://arxiv.org/abs/2209.00337
Autor:
Poncin, Norbert, Schouten, Sarah
This text is a short but comprehensive introduction to the basics of supergeometry and includes some of the recent advances in colored supergeometry. We do not aim for a standard text that states results and proves them more or less rigorously, but a
Externí odkaz:
http://arxiv.org/abs/2207.12974
Autor:
Mazari-Armida, Marcos
We show that the condition of being categorical in a tail of cardinals can be characterized algebraically for several classes of modules. $Theorem.$ Assume $R$ is an associative ring with unity. 1. The class of locally pure-injective $R$-modules is $
Externí odkaz:
http://arxiv.org/abs/2202.07900