3 citations · 11 across the 36 of their papers we have counts for
9 papers · 1 filter
A note on Matlis localizations
Xiaolei Zhang
Let be a commutative ring and a multiplicative subset of . A ring is called an -Matlis ring if . In this note, we give some new characterizations o…
Little finitistic dimensions and generalized derived categories
Xiaolei Zhang, Tiwei Zhao, Dingguo Wang
In this paper, we introduced a generalization of the derived category, which is called the -derived category and denoted by $\D_{n}(R)$, of a given ring for each $n\in\mathb…
Characterizing Baer Modules Over -Semisimple Rings: An Extension of Baer's Problem
Xiaolei Zhang, Hwankoo Kim
In this note, we investigate the Baer splitting problem over commutative rings. In particular, we show that if a commutative ring is -semisimple, then every Baer -modul…
On (uniformly) --Noetherian rings and modules
Xiaolei Zhang
Let be a ring and a multiplicative subset of . We introduce and study the notions of (-)--Noetherian modules and (-)--principal ideal modules. Some cha…
On the generalizations of global dimensions and singularity categories
Xiaolei Zhang, Tiwei Zhao, Dingguo Wang
For each , we introduce the notion of -singularity category of a given ring , which can be seen as a generalization…
On -weak global dimensions of commuative rings
Xiaolei Zhang, Ning Bian, Refat Abdelmawla Khaled Assaad +1
In this paper, the -weak global dimension -\cwd of a commutative ring is introduced. Rings with -weak global dimension equal to are studied in terms of…
A note on the Cohen type theorem and the Eakin-Nagata type theorem for uniformly -Noetherian rings
Xiaolei Zhang
In this note, we give the Cohen type theorem for uniformly -Noetherian modules and the Eakin-Nagata type theorem for uniformly -Noetherian rings. We also solve an open questi…
On strongly --Flat modules and Their Homological Dimensions
Wei Qi, Xiaolei Zhang, Wei Zhao
In this paper, we introduce and study the notion of strongly --flat modules. The --weak global dimension --w.gl.dim of an NP-ring is also introduced and…
On -projectivity and -simplicity
Xiaolei Zhang
In this paper, we first introduce and study the notion of -projective modules via strongly Lucas modules, and then investigate the -global dimension -\gld of a…