SEMIPERFECT CATEGORY-GRADED ALGEBRAS

被引:1
|
作者
Yudin, Ivan [1 ]
机构
[1] Univ Coimbra, CMUC, Dept Math, P-3001454 Coimbra, Portugal
关键词
Graded algebras; Semiperfect algebras; Semiperfect categories;
D O I
10.1080/00927870903527519
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce the notion of algebras graded over a small category and give a criterion for such algebras to be semiperfect.
引用
收藏
页码:267 / 278
页数:12
相关论文
共 50 条
  • [21] On some graded objects in graded module category
    Azimi, Soodabeh
    Khojali, Ahmad
    Zamani, Naser
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025, 24 (03)
  • [22] The category of Colombeau algebras
    Lorenzo Luperi Baglini
    Paolo Giordano
    Monatshefte für Mathematik, 2017, 182 : 649 - 674
  • [23] Strongly rational comodules and semiperfect Hopf algebras over QF rings
    Menini, C
    Torrecillas, B
    Wisbauer, R
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2001, 155 (2-3) : 237 - 255
  • [24] Graded algebras and their differential graded extensions
    Piontkovski D.
    Journal of Mathematical Sciences, 2007, 142 (4) : 2267 - 2301
  • [25] MARTINDALE ALGEBRAS OF QUOTIENTS OF GRADED ALGEBRAS
    Bierwirth, H.
    Martin Gonzalez, C.
    Sanchez Ortega, J.
    Siles Molina, M.
    COMMUNICATIONS IN ALGEBRA, 2015, 43 (02) : 829 - 846
  • [26] Flexibly Graded Monads and Graded Algebras
    McDermott, Dylan
    Uustalu, Tarmo
    MATHEMATICS OF PROGRAM CONSTRUCTION (MPC 2022, 2022, 13544 : 102 - 128
  • [27] SEMIPERFECT C-STAR-ALGEBRAS AND THE STONE-WEIERSTRASS PROBLEM
    BATTY, CJK
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1986, 34 : 97 - 110
  • [28] Algebras of quotients of graded Lie algebras
    Sanchez Ortega, Juana
    Siles Molina, Mercedes
    JOURNAL OF ALGEBRA, 2010, 323 (07) : 2002 - 2015
  • [29] Graded representations of graded Lie algebras and generalized representations of Jordan algebras
    Kantor, I
    Shpiz, G
    Noncommutative Geometry and Representation Theory in Mathematical Physics, 2005, 391 : 167 - 174
  • [30] THE GRADED CENTER OF A TRIANGULATED CATEGORY
    Carlson, Jon F.
    Webb, Peter
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 102 (01) : 74 - 95