We give a simultaneous generalization of recollements of abelian categories and
triangulated categories, which we call recollements of extriangulated categories. For a …

Let T be a Krull–Schmidt, Hom-finite triangulated category with suspension functor [1]. Let R
be a basic rigid object, Γ the endomorphism algebra of R, and pr (R)⊆ T the subcategory of …

Let C be a triangulated category with shift functor [1] and R a rigid subcategory of C. We
introduce the notions of two-term R [1]-rigid subcategories, two-term (weak) R [1]-cluster …

与丛管子相关的代数的刚性模 Page 1 浙江大学学报(理学版) Journal of Zhejiang University(Science
Edition) http://www.zjujournals.com/sci 第49 卷第5 期 2022 年9 月 Vol. 49 No. 5 Sep. 2022 …

Let $(\mbox {mod}\Lambda',\mbox {mod}\Lambda,\mbox {mod}\Lambda'') $ be a recollement
of abelian categories for artin algebras $\Lambda'$, $\Lambda $ and $\Lambda''$. Under …

We continue our investigation on cluster algebras arising from cluster tubes. Let C be a
cluster tube of rank n+ 1. For an arbitrary basic maximal rigid object T of C, one may …

We study cluster algebras arising from cluster tubes. We obtain categorical interpretations
for g-vectors, c-vectors and denominator vectors for cluster algebras of type CC with respect …

G 型丛代数中丛单项式线性无关性的范畴化证明 Page 1 山东大学学报(理学版)2022年10月第
57卷第10期 E-mail:xblxb@sdu.edu.cn Journal of Shandong University(Natural Science)ꎬ …

In this paper, we study a close relationship between relative cluster tilting theory in
extriangulated categories and τ-tilting theory in module categories. Our main results show …

It is proved that a multiset of permissible arcs over a tiling is uniquely determined by its
intersection vector under a mild condition. This generalizes a classical result over marked …