ISSN:0092-7872    

DOI:10.1080/00927879508825213

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825214

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

Let G be a group and H a subgroup of G × G. The simplicity of the nonzero-symmetric near-ring M(G,2,H)= {f ∈ M(G)‖f(H) ⊆H)is characterized. It is shown that whenever G is finite, the simplicity of M((7,2, 77) implies the simplicity of its zero-symmetric part. Apart from a few exceptional cases (which are all isomorphic) the converse can also be established.

ISSN:0092-7872    

DOI:10.1080/00927879508825215

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

A classification of Bernstein algebras in dimensions n ⩽ 4 has been made by Holgate in [2], however that article contains no classification up to isomorphism, the problem is solved by Lyubich in [4] when K =RorC, and by Cortes [1] in the general case. Also Lyubich has given in [5] a classification of the regular nonexceptional Bernstein algebra of type (3,n−3) and a classification but not up to isomorphism of nonregular nonexceptional Bernstein algebras of type (3,n − 3) when K =C. The aim of this paper it to characterize, up to isomorphism, Bernstein algebras of type(2, n − 2) and nonexceptional of type(3, n −3) over a infinite commutative field K whose characteristic is different from 2.

ISSN:0092-7872    

DOI:10.1080/00927879508825216

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825217

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825218

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825220

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825219

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825221

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

We show that the "Constant r-term Krichever-Novikov-type algebras" called by Nuyts and platten are derivation algebras of certain k-graded commutative algebra parametrized by Laurent polynomials, which implies that the algebras have natural central extensions. The affinizations associated with these commutative algebras are also introduced. More-Over, we give vertex operator representations of corresponding affine Kac-Moody algebras. By our vertex operator approach, we construct related k-graded Super-Virasoro algebras and their representations.

ISSN:0092-7872    

DOI:10.1080/00927879508825222

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor