A dendriform algebra defined by Loday has two binary operations that give a two-part splitting of the associativity in the sense that their sum is associative.S
The k-characters are class functions on subsets of Gk called the k-classes of G.For a finite group G,the k-class sums form a basis for a subring of CGk,which we
大气CO2浓度已从工业革命前的280μmol·mol-1不断增高,目前已突破400μmol·mmol-1大关,预计本世纪中叶将达到550 μmol·mol-1。水稻是最重要的粮食作物之一,大气CO2浓度对水稻结实能力和品质性状的影响已有很多研究,但这种影响是否与稻穗上的着生部位有关?品种间有什么差异?均不清楚。为此,本研究利用稻田FACE(Free Air CO2 Enrichment)平台,模拟
We establish a universal approach to solutions of the word problem in the varieties of di-and tri-algebras.This approach,for example,allows us to apply Gr(o)bne
We study the structure of the generalized 2-dim affine-Virasoro algebra,and describe its automorphism group.Furthermore,we also determine the irreducibility of
Let F,N,A and N2 denote the properties of being finite,nilpotent,abelian and nilpotent of classes at most 2,respectively.Firstly we consider the class of finite
In this paper,we find Haal-Shirshov type bases for free pre-Lie algebras.We show that Segal’s basis of a free pre-Lie algebra is a type of these bases.We give
For each finite group E,let (O)(E) be a binary relation on the set of all subgroups of E.If A and B are subgroups of a finite group G,then we say that the pair
Let R be a ring and let H be a subgroup of a finite group G.We consider the weak global dimension,cotorsion dimension and weak Gorenstein global dimension of th