张量环上的 Gorenstein AC- 投射模
Abstract
论文通过张量积的定义构造了张量环，刻画了张量环上的 Gorenstein AC- 投射模，其中该投射模的子范畴 中的对象为表示范畴，再通过张量环的等价刻画研究了其性质。
References
[1] E E Enochs, O M G Jenda. Gorenstein injective and projective
mdoules[J]. Math Z,1995,220(4):611-633.
[2] L Mao, N Ding. Gorenstein FP-injective and Gorenstein flat
modules[J]. J Algebra Appl,2008(7):491-506.
[3] D Bravo, J Gillespie, M Hovey. The stable modules category of a
general ring[EB/OL]. Arxiv:1405.5768v1.
[4] P M Algebra[M]. New York, Brisbane, Toronto, Singapore,1991.
[5] X W Chen, M Lu. Gorenstein homological properties of tensor
rings[J]. Nagoya Math J,2020(237):188-208.
[6] H Minamoto. Ampleness of two-sided tilting complexes[J]. Int
Math Res Not IMRN1,2012:67-101.
[7] Y V Roganov. The dimension of the tensor algebra of projective
bimodule[J]. Math Notes,1975(18):119-1123.
[8] R Gobel, J Trlifaj. Approximations and Endomorphism Algebras of
Modules[J]. Berlin,Boston: De Gruyter,2012.
