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This paper is made up of a desire for me to contribute to this beautiful field of mathematics that I have encountered in......
Based on the n-fold tensor product version of the generalized double-bosonization construction,we prove the Majid conjec......
Let k be a fixed algebraically closed field of arbitrary characteristic,let Λ be a finite dimensional self-injective k-......
Let W(Г)be a class of not-finitely graded Lie algebras related to generalized Virasoro algebras with basis{Lα,i,C|α......
Some Hall polynomials for representation-finite selfinjective algebra with mod _pΛ without short cha
1 PreliminariesThe Hall algebra H（A） of a finitary ring A was defined by Ringel.H（A）is the freeAbelian group with a basis{u<......
QUASI-HEREDITARY algebras were introduced by Cline et al. in order to Study the highest weight categories in representat......
We prove that sharply dominating Archimedean atomic lattice effect algebras can be characterized by the property called ......
In this paper, it is proved that the global dimension of a Yetter-Drinfel’d Hopf algebra coincides with the projective ......
Both original and twisted Schrdinger-Virasoro algebras, and also their deformations were introduced and investigated i......
We show that the shuffle algebras for polylogarithms and regularized MZVs in the sense of Ihara,Kaneko and Zagier are bo......
The notions of quasi k-Gorenstein algebras and W~t-approximation representations are introduced. The existence and uniqu......
A polynomial p in a polynomial algebra over a field is called a test polynomial if any endomorphism of the polynomial al......
Let A be a finite-dimensional algebra over arbitrary base field k. We prove: if the unbounded derived module category D-......
We initiate a study of the dependence of the choice of ground ring on the problem on whether a cluster algebra is equal ......
Indecomposables with smaller cohomological length in the derived category of gentle algebras Dedicat
Bongartz(2013) and Ringel(2011) proved that there is no gaps in the sequence of lengths of indecomposable modules for th......
We introduce block maps for subfactors and study their dynamic systems. We prove that the limit points of the dynamic sy......
The algebra automorphisms of the quantized enveloping algebra Uq(g) are discussed, where q is generic. To some extent, a......
A duality theorem for Hopf crossed coproduct is proved. This theorem plays a role similar to that appearing in the work ......
The characteristic tilting modules of quasi-hereditary algebras which are dual extensions of directed monomial algebras ......
为探究吕家坨井田地质构造格局,根据钻孔勘探资料,采用分形理论和趋势面分析方法,研究了井田7......
In this paper, based on the existing research results, we obtain the unary extension 3-Lie algebras by one-dimensional e......
Benkart和Zelmanov在研究非simply-laced有限根分次李代数的结构和分类时,对多重仿射化定义了一种李代数.其目的是为了推广复半单......
Throughout C is a filed and all vetor spaces are over C, We use elementary notions and properties of multiplier Hopf alg......
A Uqp （ul,1） model is presented for describing vibrational spectra of diatomic molecules. The model is tested on the vibra......
给出半环上半代数的概念,证明了半环上加法可消半代数,且只有非平凡同余,那么该半代数是半环上的代数.......
基于对模糊逻辑和模糊推理的系统研究，一种新的模糊逻辑代数－Ｒ０代数已于近期被建立，这为模糊逻辑提供了一种新的代数框架。文中对Ｒ０代数作......
本文主要阐述了XQuery对XML查询优化的相关内容，主要涉及的技术包括最小化、XML代数、索引技术、倒排列表、选择估计、重写机制等。......
为了研究弱entwining结构的性质，利用同调代数方法讨论了路代数和路余代数的弱entwining结构，研究了此弱entwining结构的Hochschild......
给出了Fuzzy有效空间的概念.利用偏序集上的特殊模糊子集构造了effect algebras,σ-effect algebras,orthoalgebras,orthomodular ......
We introduce noncommutative Hardy-Lorentz spaces and give the Szeg and inner-outer type factorizations of these spaces......
This paper discusses quantum mechanical schemas for describing waves with non-abelian phases, Fock spaces of annihilatio......
In this paper, the master equation for the coupled lossy waveguides is solved using the thermofield dynamics (TFD) forma......
We present here a realization of Hurwitz algebra in terms of 2 × 2 vector matrices which maintain the correspondenc......
The goal of this paper is to investigate whether the Ext-groups of all pairs (M, N) of modules over Nakayama algebras of......
We show that the non-linear semi-quantum Hamiltonians which may be expressed as(whereis the set of generators of some Li......
Let G be a primitive strongly regular graph of order n and A is adjacency matrix. In this paper we first associate to A ......
For a transitive depth-one graded Lie algebra over a field of characteristic greater than two, a limit on the degree of ......
A class of meta-invariant operators over Cayley-Dickson algebra is studied. Their spectral theory is investigated. More-......
In this paper, we determine the second Hochschild cohomology group for a class of self-injective algebras of tame repres......
We show that each irreducible, transitive finite-dimensional graded Lie algebra over a field of prime characteristic p c......
Our purpose in these notes is to present a result for a specific Nakayama Algebra. In essence, it affirms that for any o......
We demonstrate the functional inverse of a Winter map, which is an analog of the exponential map, for Lie algebras over ......
Contractions of the Lie algebras d = u(2), f = u(1 ,1) to the oscillator Lie algebra l are realized via the adjoint acti......
In this paper, it is proved that every nonlinear Jordan triple derivation on triangular algebra is an additive derivatio......
The Nappi-Witten Lie algebra was first introduced by C. Nappi and E. Witten in the study of Wess-Zumino-Novikov-Witten (......
Abstract Let M be a a-finite von Neumann algebra equipped with a normal faithful stateφ, and let .A be a maximal subdia......
A property(C) for permutation pairs is introduced. It is shown that if a pair{π1, π2} of permutations of(1,2,…,n) has......
本文研究了（余）反的范畴性质及应用，得到的主要结果如下；（１）余反射余代数范畴和反射代数范畴是等价的。（２）反射和余反射都具有可扩张性，使用这......
In this paper,Seiberg-Witten-like equations w让hout self-duality are defined on any smooth 2n+1-dimensional Spinc manifo......
