ISSN:0092-7872    

DOI:10.1080/00927879508825396

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

LetBbe a commutative ring with identity,m,n, andrbe positive integers such thatr≤ min{m,n},a1, …,ar(resp.b1, …br) be integers such that 1 ≤a1< … <ar≤m(resp. 1 ≤b1< … <br<n) andU(resp.V) be the most generalm×r(resp.r×n) matrix such thats-minors of firstas− 1 rows (resp.bs− 1 columns) ofU(resp.V) are all zero fors= 1, …,r. We investigate theB-algebraCgenerated by all the entries ofUVand all ther-minors ofUandV. We introduce a Hodge algebra structure, to which the discrete Hodge algebra associate is Cohen Macaulay, onCand prove thatCis Cohen-Macaulay if so isB. Using this Hodge algebra structure, we show thatCis the ring of absolute invariants of a certain group action, compute the divisor class group and the canonical class ofC, and give a criterion of Gorenstein property ofCin terms ofa1,…,arandb1…,br.

ISSN:0092-7872    

DOI:10.1080/00927879508825397

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825398

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

We study the relation between the genus of a direct product of nilpotent groups of a certain type and the direct product of their genera. We show that the natural map φ :G(N1) × … ×G(Nk) −g{N1× … ×Nk) is surjective if the groupsNiare of a certain type. We also deduce some non-cancellation phenomena.

ISSN:0092-7872    

DOI:10.1080/00927879508825399

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825400

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825401

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825402

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825403

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

摘要:

The paper deals with non-commutative differential calculi. It contains the description of all homogeneous coordinate differential calculi on the quantum plane and of those on the two-generated Grassmannian algebra. In addition, the optimum algebra for the Pusz-Woronowicz calculus on the quantum hyperplane is found.

ISSN:0092-7872    

DOI:10.1080/00927879508825404

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor

ISSN:0092-7872    

DOI:10.1080/00927879508825405

出版商:Marcel Dekker, Inc.    

年代:1995

数据来源: Taylor