Generic abelian crossed products and graded division algebras

被引:0
|
作者
Boulagouaz, M [1 ]
Mounirh, K [1 ]
机构
[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci & Technol Fes Saiss, Fes, Morocco
来源
ALGEBRA AND NUMBER THEORY | 2000年 / 208卷
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove that generic abelian crossed products are quotient algebras of central semi-ramified graded division algebras over graded fields. The main purpose of this paper is to convert most of the results on generic abelian crossed products into more general forms using semi-ramified graded division algebras.
引用
收藏
页码:33 / 47
页数:15
相关论文
共 50 条
  • [21] Correspondences between valued division algebras and graded division algebras
    Hwang, YS
    Wadsworth, AR
    JOURNAL OF ALGEBRA, 1999, 220 (01) : 73 - 114
  • [22] CROSSED-PRODUCTS OF TYPE-I AF ALGEBRAS BY ABELIAN-GROUPS
    GOOTMAN, EC
    LAZAR, AJ
    ISRAEL JOURNAL OF MATHEMATICS, 1986, 56 (03) : 267 - 279
  • [23] Crossed Products of Operator Algebras
    Katsoulis, Elias G.
    Ramsey, Christopher
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 258 (1240) : 1 - +
  • [24] CROSSED PRODUCTS AND MF ALGEBRAS
    Li, Weihua
    Orfanos, Stefanos
    OPERATORS AND MATRICES, 2016, 10 (03): : 679 - 689
  • [25] Degeneracy and decomposability in abelian crossed products
    McKinnie, Kelly
    JOURNAL OF ALGEBRA, 2011, 328 (01) : 443 - 460
  • [26] TILTED ALGEBRAS AND CROSSED PRODUCTS
    Lin, Yanan
    Zhou, Zhenqiang
    GLASGOW MATHEMATICAL JOURNAL, 2016, 58 (03) : 559 - 571
  • [27] KAC ALGEBRAS AND CROSSED PRODUCTS
    ENOCK, M
    SCHWARTZ, JM
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1976, 283 (06): : 321 - 323
  • [28] ON ABELIAN UNITARY INVOLUTIONS OF CROSSED PRODUCTS
    Yanchevskii, Vyacheslav I.
    DOKLADY NATSIONALNOI AKADEMII NAUK BELARUSI, 2024, 68 (01): : 15 - 17
  • [29] Prime group graded rings with applications to partial crossed products and Leavitt path algebras
    Lannstrom, Daniel
    Lundstrom, Patrik
    Oinert, Johan
    Wagner, Stefan
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2025, 229 (01)
  • [30] AF-Embeddings of the Crossed Products of AH-Algebras by Finitely Generated Abelian Groups
    Lin, Huaxin
    INTERNATIONAL MATHEMATICS RESEARCH PAPERS, 2008,