On the finiteness of the semigroup of
conjugacy classes of left ideals
for algebras with radical square zero
Colloquium Mathematicum, Tome 142 (2016) no. 1, pp. 1-49
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
finite dimensional algebra algebraically closed field radical square zero simple a modules have dimension characterization those have finitely many conjugacy classes ideals
Affiliations des auteurs :
Arkadiusz Męcel 1
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author = {Arkadiusz M\k{e}cel},
title = {On the finiteness of the semigroup of
conjugacy classes of left ideals
for algebras with radical square zero},
journal = {Colloquium Mathematicum},
pages = {1--49},
publisher = {mathdoc},
volume = {142},
number = {1},
year = {2016},
doi = {10.4064/cm142-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm142-1-1/}
}
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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 Mathematicum, Tome 142 (2016) no. 1, pp. 1-49. doi: 10.4064/cm142-1-1
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