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We give a complete description of the Batalin-Vilkovisky algebra structure on Hochschild cohomology of the self-injectiv......
This paper is made up of a desire for me to contribute to this beautiful field of mathematics that I have encountered in......
It is a common misconception that electric “resistance” always is a positive defined electric element. <em>i.e.</em>, ......
Research and Practice of Integrating Ideological and Political Education Into University Mathematics
This paper first analyses the reasons for the low effectiveness of ideological and political education in the current un......
The Weyl’s Theorem and Its Perturbations in Semisimple Banach Algebra Ying Ying KONG Li Ning JIANG Yan Xun REN Abstract......
We describe all degenerations of the variety ■3 of Jordan algebras of dimension three over C.In particular,we describe ......
We study the conjugate gradient method for solving a system of linear equations with coefficients which are measurable f......
In this article we investigate the relations between the Gorenstein projective dimensions of Λ-modules and their socles......
In this paper,we construct Hamiltonian systems for 2 N particles whose force depends on the distances between the partic......
Denote a finite dimensional Hopf C*-algebra by H, and a Hopf *-subalgebra of H by H1. In this paper, we study the constr......
At the beginning of 16th century,mathematicians foundit easy to solve equations of the first degree(linear equa-tions,i......
在根式的一些运算中,有时需要求出根式的整函数的有理化因子。如果这个整函数是單項的,則它的有理化因子显然存在,例如根式
In s......
ALL the groups considered in this note are finite. Definitions and notations are the same as...
<正> Let Ω be an abstract space, F(Ω) be the fuzzy subset in Ω, (?) be a fuzzy algebra on Ω,μ be a fuzzy probabilit......
Let B(H) be all bounded operators on a Hilbert space H and let C<sub>2</sub> denote the class of all Hilbert-Schmidt opera......
Let ■ be a real semisimple Lie algebra, ■ be a Cartan subalgebra of ■, Aut (■) be the automorphism group of ■ and A......
PAVELKA in ref. [1] established a propositional logic system whose truth values domain is an enriched residuated lattice......
SINCE Michael (1952) published the first book about topological algebras, it has become abranch of functional analysis. ......
IN this note the infinite-dimensional Lie superalgebras of Cartan type X(m,n)(X=W,S,H or K)over field F of prime charact......
LET A be finite-dimensional algebra over field k,and A<sup>e</sup> the enveloping algebra of A,i.e.A<sup>e</sup>=A <sub>......
假定 thatF 是特征零的一块地,(i) D 是有限维的中央分裂 algabra overF;(ii ) A 是有限维的半简单的 algabra overF。它被证明那 as......
数学起源于数和形概念的产生,经过不断地发展,最终形成两个不同的分支:代数与几何.但是这两个分支之间并没有真正明确的界限.例如......
Let R(D) be the algebra generated in Sobolev space W22(D) by the rational functions with poles outside the unit disk D. ......
In this paper, the Harish-Chandra modules and Verma modules over Block algebra L[G] are investigated. More precisely, th......
The paper focuses on the 1-generated positively graded algebras with non-pure resolutions and mainly discusses a new kin......
The relationships between Koszulity and finite Galois coverings are obtained, which provide a construction of Koszul alg......
Let (Γ,I) be the bound quiver of a cyclic quiver whose vertices correspond to the Abelian group Zd. In this paper, we l......
In this paper,we study a certain class of double Ockham algebras (L;∧,∨,f,k,0,1), namely the bounded distributive latt......
Let k be the algebraic closure of a finite field F_q and A be a finite dimensional k-algebra with a Frobenius morphism F......
When the base connected cochain DG algebra is cohomologically bounded, it is proved that the difference between the ampl......
The concept of Hall words was first introduced by P. Hall in 1933 in his investigation on groups of prime power order. T......
Using actions of free monoids and free associative algebras, we establish some Schreier-type formulas involving ranks of......
Let DerA be the Lie algebra of derivations of the d-torus A = C[t1± 1, . . . , td±1]. By applying Shen-Larsson......
For any n 3, let R(n) denote the root category of finite-dimensional nilpotent representations of cyclic quiver with n v......
In this paper, we define a P-twisted affine Lie algebra, and construct its realizations by twisted vertex operators....
让(H, R ) 是三角形的 Hopf 代数学。代表 ofH 的范畴上的 monoidal 函子被学习,并且可交换的 algebraSeR (M) 和一个双 H 问题在空......
Grover's quantum searching algorithm is most widely studied in the current quantum computation research, and has bee......
It is proved that the exact Borel subalgebras of a basic quasi-hereditary algebra are conjugate to each other. Moreover,......
This paper gives a complete classification of (Δ)-finite twisted double incidence algebras of posets in the case where ......
The central invariants of the derived p-Lie algebras in Yetter-Drinfeld categories are studied....
Let A be a quasi-hereditary algebra with a strong exact Borel subalgebra. It is proved that for any standard semisimple ......
Diagonal invariant ideals of Toeplitz algebras defined on discrete groups are introduced and studied. In terms of isomet......
For integral table algebras with integral table basis T, we can consider integral R-algebra RT over a subring R of the r......
A class of the associative and Lie algebras A[D] = A × F[D] of Weyl type are studied, where Ais a commutative assoc......
In this paper, all Lie bialgebra structures on the Lie algebras of generalized Witt type are considered. It is proved th......
We discuss some recent results on interpolation problems for weighted Hrmander’s algebras of holomorphic functions in......
In this paper, we introduce and study differential graded(DG for short) polynomial algebras. In brief, a DG polynomial a......
This paper proves that every indecomposable module over a representation-finite selfinjective algebra of class An is uni......