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Algebras with finitely many conjugacy classes of left ideals versus algebras of finite representation type.
- Source :
-
Journal of Pure & Applied Algebra . Oct2019, Vol. 223 Issue 10, p4302-4310. 9p. - Publication Year :
- 2019
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE fields
*CONJUGACY classes
*IDEALS (Algebra)
*DIMENSIONS
*RING theory
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 223
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 136091342
- Full Text :
- https://doi.org/10.1016/j.jpaa.2019.01.010