Algebras with finitely many conjugacy classes of left ideals versus algebras of finite representation type

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:223

Article

Mecel, Arkadiusz¹  Okninski, Jan¹ 

[1] Univ Warsaw, Inst Math, Banacha 2, PL-02097 Warsaw, Poland

关键词: Finite dimensional algebra;    Left ideal;    Semigroup;    Conjugacy class;    Finite representation type;   

DOI  :  10.1016/j.jpaa.2019.01.010

来源: Elsevier

【 摘 要 】

Let A be a finite dimensional algebra over an algebraically closed field with the radical nilpotent of index 2. It is shown that A has finitely many conjugacy classes of left ideals if and only if A is of finite representation type provided that all simple A -modules have dimension at least 6. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

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