Minimal varieties of PI-algebras with graded involution

被引：0
|
作者：
Benanti, F. S. [1 ]
Di Vincenzo, O. M. [2 ]
Valenti, A. [3 ]
机构：
[1] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy
[2] Univ Basilicata, Dipartimento Matemat Informat & Econ, Via Ateneo Lucano 10, I-85100 Potenza, Italy
[3] Univ Palermo, Dipartimento Ingn, Viale Sci, I-90128 Palermo, Italy
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2024年 / 699卷
关键词：
Graded algebras; Graded involutions; Codimension; Mimimal varieties; POLYNOMIAL-IDENTITIES; CODIMENSION GROWTH; GROUP GRADINGS; SIMPLE JORDAN;
D O I：
10.1016/j.laa.2024.07.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let F be an algebraically closed field of characteristic zero and G a cyclic group of odd prime order. We consider the class of finite dimensional (G, *)-algebras, namely G-graded algebras endowed with graded involution *, and we characterize the varieties generated by algebras of this class which are minimal with respect to the (G, *)-exponent. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).
引用
收藏
页码：459 / 507
页数：49
相关论文
共 50 条
  • [1] Minimal varieties of graded PI-algebras over abelian groups
    Argenti, Sebastiano
    Di Vincenzo, Onofrio Mario
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2024, 56 (07) : 2441 - 2459
  • [2] On the minimal varieties of PI-algebras graded by finite cyclic groups
    da Silva Pinto, Marcos Antonio
    Tomaz da Silva, Viviane Ribeiro
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (20): : 5790 - 5814
  • [3] Graded prime PI-algebras
    Balaba I.N.
    [J]. Journal of Mathematical Sciences, 2005, 128 (6) : 3345 - 3349
  • [4] ON SEMIGROUP GRADED PI-ALGEBRAS
    KELAREV, AV
    [J]. SEMIGROUP FORUM, 1993, 47 (03) : 294 - 298
  • [5] Minimal varieties of PI-superalgebras with graded involution
    Di Vincenzo, Onofrio Mario
    da Silva, Viviane Ribeiro Tomaz
    Spinelli, Ernesto
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2021, 241 (02) : 869 - 909
  • [6] Minimal varieties of PI-superalgebras with graded involution
    Onofrio Mario Di Vincenzo
    Viviane Ribeiro Tomaz da Silva
    Ernesto Spinelli
    [J]. Israel Journal of Mathematics, 2021, 241 : 869 - 909
  • [7] Group graded PI-algebras and their codimension growth
    Eli Aljadeff
    [J]. Israel Journal of Mathematics, 2012, 189 : 189 - 205
  • [8] Group graded PI-algebras and their codimension growth
    Aljadeff, Eli
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2012, 189 (01) : 189 - 205
  • [9] A characterization of minimal varieties of Zp-graded PI algebras
    Di Vincenzo, Onofrio Mario
    Tomaz da Silva, Viviane Ribeiro
    Spinelli, Ernesto
    [J]. JOURNAL OF ALGEBRA, 2019, 539 : 397 - 418
  • [10] IDENTITIES OF PI-ALGEBRAS GRADED BY A FINITE ABELIAN GROUP
    Sviridova, Irina
    [J]. COMMUNICATIONS IN ALGEBRA, 2011, 39 (09) : 3462 - 3490
12345