A．G．滤环上Holonomic模特征簇的刻划

给出了Ａ．Ｇ．滤环上ｈｏｌｏｎｏｍｉｃ模的特征簇刻划，推广了微分算子环和Ａ．Ｒ．滤环中的相应结果．     

REPRESENTATIONS OF THE TWO PARAMETER DEFORMATION OF THE VIRASORO ALGEBRA

This paper constructs a class of Harish-Chandra modules with multiplicity ≤1 of the two parameter deformation of Virasoro algebra and proves a classification theorem.     

二面体群上的Hopf Ore扩张

In this paper, the Hopf Ore extension and corresponding module extension of the group algebra over dihedral group are studied. It turns out that the 1-dimensional and 2- dimensional simple representations can both be extended to the simple representations over a class of Hopf Ore extension.     

Strongly Irreducible Submodules of Modules

Strongly irreducible submodules of modules are defined as follows： A submodule N of an Rmodule M is said to be strongly irreducible if for submodules L and K of M, the inclusion L ∩ K ∈ N implies that either L ∈ N or K ∈ N. The relationship among the families of irreducible, strongly irreducible, prime and primary submodules of an R-module M is considered, and a characterization of Noetherian modules which contain a non-prime strongly irreducible submodule is given.     

Characterization of V-modules by Relative Quasi-continuity

§ 1.Ｉｎｔｒｏｄｕｃｔｉｏｎ　ＬｅｔＲｂｅａｒｉｎｇｗｉｔｈｉｄｅｎｔｉｔｙａｎｄＭａｌｅｆｔＲ ｍｏｄｕｌｅ .ＡｌｅｆｔＲ ｍｏｄｕｌｅＵｉｓｃａｌｌｅｄＭ ｉｎｊｅｃｔｉｖｅｉｆ,ｆｏｒｅｖｅｒｙｓｕｂｍｏｄｕｌｅＮｏｆＭａｎｄｅｖｅｒｙｈｏｍｏｍｏｒｐｈｉｓｍ :Ｎ→Ｕ ,ｃａｎｂｅｅｘｔｅｎｄｅｄｔｏａｈｏｍｏｍｏｒｐｈｉｓｍ ψ :Ｍ→Ｕ .ＡｌｅｆｔＲ ｍｏｄｕｌｅＭｉｓｃａｌｌｅｄａＶ ｍｏｄｕｌｅｂｙＲａｍａｍｕｒｔｈｉ[1]ａｎｄＴｏｍｉｎａｇａ[2 ](ａｎｄｉｓｃａｌｌｅｄａｃｏ ｓｅｍｉｓ…     

分次直投射模及应用

本文引进分次直投射模的概念,得到分次直投射模的一个判定定理,并利用分次直投射模刻划了分次左遗传环,分次左半遗传环,分次左半单环和分次左PP-环,     

Gorenstein-Projective Modules over Morita Rings

Let △(φ,ψ) =(A BMA ANBB) be a Morita ring which is an Artin algebra.In this paper we investigate the relations between the Gorenstein-projective modules over a Morita ring △(φ,ψ) and the algebras A and B.We prove that if △(φ,ψ) is a Gorenstein algebra and both MA and AN (resp.,both NB and BM) have finite projective dimension,then A (resp.,B) is a Gorenstein algebra.We also discuss when the CM-freeness and the CM-finiteness of a Morita ring △(φ,ψ) is inherited by the algebras A and B.     

Grothendieck rings of a class of Hopf algebras of Kac-Paljutkin type

We construct the Grothendieck rings of a class of 2n²dimensional semisimple Hopf Algebras H_2n²,which can be viewed as a generalization of the 8 dimensional Kac-Paljutkin Hopf algebra H8.All irreducible H_2n²-modules are classified.Furthermore,we describe the Grothendieck rings r(H_2n²)by generators and relations explicitly.     

广义幂级数代数的滤链维数

In this paper, we study the properties of generalized power series modules and the filtration dimensions of generalized power series algebras. We obtain that [[△S,≤]]- gfd([[AS,≤]]) =△-gfd(A) if A is an R-module where R is a perfect and coherent commutative algebra, and(R, ≤) is standardly stratified.     

Yetter–Drinfeld Modules over Weak Braided Hopf Monoids and Center Categories

In this paper,we introduce several centralizer constructions in a monoidal context and establish a monoidal equivalence with the category of Yetter–Drinfeld modules over a weak braided Hopf monoid.We apply the general result to the calculus of the center in module categories.