On the finiteness of the semigroup of conjugacy classes of left ideals for algebras with radical square zero

Arkadiusz Męcel

Colloquium Mathematicae (2016)

  • Volume: 142, Issue: 1, page 1-49
  • ISSN: 0010-1354

Abstract

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Let A be a finite-dimensional algebra over an algebraically closed field with radical square zero, and such that all simple A-modules have dimension at most two. We give a characterization of those A that have finitely many conjugacy classes of left ideals.

How to cite

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Arkadiusz Męcel. "On the finiteness of the semigroup of conjugacy classes of left ideals for algebras with radical square zero." Colloquium Mathematicae 142.1 (2016): 1-49. <http://eudml.org/doc/283618>.

@article{ArkadiuszMęcel2016,
abstract = {Let A be a finite-dimensional algebra over an algebraically closed field with radical square zero, and such that all simple A-modules have dimension at most two. We give a characterization of those A that have finitely many conjugacy classes of left ideals.},
author = {Arkadiusz Męcel},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {1-49},
title = {On the finiteness of the semigroup of conjugacy classes of left ideals for algebras with radical square zero},
url = {http://eudml.org/doc/283618},
volume = {142},
year = {2016},
}

TY - JOUR
AU - Arkadiusz Męcel
TI - On the finiteness of the semigroup of conjugacy classes of left ideals for algebras with radical square zero
JO - Colloquium Mathematicae
PY - 2016
VL - 142
IS - 1
SP - 1
EP - 49
AB - Let A be a finite-dimensional algebra over an algebraically closed field with radical square zero, and such that all simple A-modules have dimension at most two. We give a characterization of those A that have finitely many conjugacy classes of left ideals.
LA - eng
UR - http://eudml.org/doc/283618
ER -

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