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Frobenius Poisson algebras
《Frontiers of Mathematics in China》2019年第2期395-420,共26页Juan LUO Shengqiang WANG Quanshui WU 
the School Foundation of Shanghai Normal University (project SK201712);the National Natural Science Foundation of China (Grant Nos. 11301180, 11771085);the National Natural Science Foundation of China (Grant Nos. 11771085, 11331006).
This paper is devoted to study Frobenius Poisson algebras. We introduce pseudo-unimodular Poisson algebras by generalizing unimodular Poisson algebras, and investigate Batalin-Vilkovisky structures on their cohomology...
关键词：POISSON ALGEBRA FROBENIUS ALGEBRA Batalin-Vilkovisky ALGEBRA POISSON (co)homology MODULAR DERIVATION 
Algebraic K-theory of Gorenstein projective modules
《Frontiers of Mathematics in China》2018年第1期55-66,共12页Ruixin LI Miantao LIU Nan GAO 
We introduce the Gorenstein algebraic K-theory space and the Gorenstein algebraic K-group of a ring, and show the relation with the classical algebraic K-theory space, and also show the ＇resolution theorem＇ in this ...
关键词：Frobenius pair Gorenstein projective module Gorenstein algebraicK-group idempotent complete category RECOLLEMENT 
Modular derivations for extensions of Poisson algebras被引量：3
《Frontiers of Mathematics in China》2017年第1期209-218,共10页Shengqiang WANG 
Acknowledgements Part of the work was done during the author＇s visit to SCMS （Shanghai Center for Mathematical Sciences）, and the author would like to thank for the hospitality. The author also thank the referees for their careful reading, helpful suggestions and comments. This work was supported by the National Natural Science Foundation of China （Grant No. 11301180）.
We compute explicitly the modular derivations for Poisson-Ore extensions and tensor products of Poisson algebras.
关键词：Poisson algebra Frobenius Poisson algebra modular derivation tensor Poisson algebra 
Recent development of Faith conjecture
《Frontiers of Mathematics in China》2016年第4期933-947,共15页Kazutoshi KOIKE Kiyoichi OSHIRO 
Is a semiprimary right self-injective ring a quasi-Frobenius ring？ Almost half century has passed since Faith raised this problem. He first conjectured “No” in his book Algebra II. Ring Theory in 1976, but changing...
关键词：Semiprimary right self-injective ring Faith conjecture division algebra D （D D）-space ErdSs-Kaplansky＇s theorem quasi-Frobenius ring Nakayama permutation 
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