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

Arkadiusz Męcel

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

Access Full Article

top

Access to full text

Full (PDF)

Abstract

top

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

top

MLA
BibTeX
RIS

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Language to use for this widget.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Number of notes per page

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.