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math.AC2023
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…
math.NT2023
Two new -supercongruences arising from Carlitz's identity
Ji-Cai Liu, Wei-Wei Qi
From Carlitz's identity, we deduce two new -supercongruences modulo the square of a cyclotomic polynomial, which were originally conjectured by Guo. These results establish new…
math.AC2023
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…