摘要:

Leti1,…,igH1…,Hf(g≥1,f≥1) be ideal in a a Noetherian ring R,letj1…,jgbe poitiveintegers,and let be an element in Ij1i(i=1,…,g). then b1…,bgare a superficial set of element of degree j1…,jgforI1…,Ig; H11…,hfin case there exist positve interers c1…,cgsuch thatforH=1…,for allki≥ciand for all ni≥0(i=1,…,g) In this paper we show the existence of such sets of elements, characterize them in sevaral ways(when eitherf=1 and H1=R Or Rad(I1…I1)⊆Rad(H1…,Hh)), show a few of their basic properties and use them to show that if each Iiis regular then for all ideals H in R,for all large kiand for allni≥(i=1,…,g)

ISSN:0092-7872    

DOI:10.1080/00927878908823896

出版商:Marcel Dekker, Inc.    

年代:1989

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927878908823897

出版商:Marcel Dekker, Inc.    

年代:1989

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927878908823898

出版商:Marcel Dekker, Inc.    

年代:1989

数据来源: Taylor

摘要:

We find generators and relations for those subalgebras of Kac-Moody Lie algebras that are the fixed point algebras of certain involutions. Specifically the involution must involve the Cartan involution which interchanges the positive and negative generators. We go on to apply these results to the G.I.M. algebras, which were introduced as natural generalizations of Kac-Moody algebras by P. Slodowy. We show such algebras are isomorphic to subalgebras of Kac-Moody algebras. From this we are able to derive someinteresting interrelations between certain Kac-Moody algebras.

ISSN:0092-7872    

DOI:10.1080/00927878908823899

出版商:Marcel Dekker, Inc.    

年代:1989

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927878908823884

出版商:Marcel Dekker, Inc.    

年代:1989

数据来源: Taylor