Zobrazeno 1 - 10
of 129
pro vyhledávání: '"Zhao, Tiwei"'
For each $n\in\mathbb{N}\cup\{\infty\}$, we introduce the notion of $n$-singularity category $\mathbf{D}_{n{\rm-}sg}(R)$ of a given ring $R$, which can be seen as a generalization of the classical singularity category. Moreover, the $n$-global dimens
Externí odkaz:
http://arxiv.org/abs/2306.09832
In this paper, we introduced a generalization of the derived category, which is called the $n$-derived category and denoted by $\D_{n}(R)$, of a given ring $R$ for each $n\in\mathbb{N}\cup\{\infty\}$. The $n$-derived category of a ring is proved to b
Externí odkaz:
http://arxiv.org/abs/2306.09140
Recently, Wang, Wei and Zhang introduced the notion of recollements of extriangulated categories. In this paper, let $(\mathcal{A},\mathcal{B},\mathcal{C})$ be a recollement of extriangulated categories. We provide some methods to construct resolving
Externí odkaz:
http://arxiv.org/abs/2111.08549
In this paper, we study ideal approximation theory associated to almost $n$-exact structures in extension closed subcategories of $n$-angulated categories. For $n=3$, an $n$-angulated category is nothing but a classical triangulated category. Moreove
Externí odkaz:
http://arxiv.org/abs/2012.03398
Publikováno v:
Proceedings of the Edinburgh Mathematical Society 64 (2021) 947-981
Extriangulated categories were introduced by Nakaoka and Palu to give a unification of properties in exact categories and extension-closed subcategories of triangulated categories. A notion of tilting pairs in an extriangulated category is introduced
Externí odkaz:
http://arxiv.org/abs/2007.05321
Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact categories and triangulated categories. In this paper, we show that the idempotent completion of an extriangulated category admits a natural extri
Externí odkaz:
http://arxiv.org/abs/2007.04788
Autor:
Ma, Xin, Zhao, Tiwei
Publikováno v:
Communications in Algebra 48(12) (2020) 5163-5175
Let $(\mbox{mod} \Lambda',\mbox{mod} \Lambda,\mbox{mod} \Lambda'')$ be a recollement of module categories for artin algebras $\Lambda'$, $\Lambda$ and $\Lambda''$. We provide a sufficient condition such that a glued torsion pair in $\mbox{mod} \Lambd
Externí odkaz:
http://arxiv.org/abs/2007.01168
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society, 43(2) (2020), 1989--2007
For a ring $R$ and an additive subcategory $\C$ of the category $\Mod R$ of left $R$-modules, under some conditions we prove that the right Gorenstein subcategory of $\Mod R$ and the left Gorenstein subcategory of $\Mod R^{op}$ relative to $\C$ form
Externí odkaz:
http://arxiv.org/abs/2006.12313
Publikováno v:
Czechoslovak Mathematical Journal, 70(2) (2020), 483--504
We introduce the right (left) Gorenstein subcategory relative to an additive subcategory $\C$ of an abelian category $\A$, and prove that the right Gorenstein subcategory $r\mathcal{G}(\mathscr{C})$ is closed under extensions, kernels of epimorphisms
Externí odkaz:
http://arxiv.org/abs/2006.12308
Let $(\mathcal{C},\mathbb{E},\mathfrak{s})$ be an extriangulated category with a proper class $\xi$ of $\mathbb{E}$-triangles. In this paper, we first introduce the $\xi$-Gorenstein cohomology in terms of $\xi$-$\mathcal{G}$projective resolutions and
Externí odkaz:
http://arxiv.org/abs/2006.04542