Immersions of module varieties

Grzegorz Zwara

Colloquium Mathematicae (1999)

  • Volume: 82, Issue: 2, page 287-299
  • ISSN: 0010-1354

Abstract

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We show that a homomorphism of algebras is a categorical epimorphism if and only if all induced morphisms of the associated module varieties are immersions. This enables us to classify all minimal singularities in the subvarieties of modules from homogeneous standard tubes.

How to cite

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Zwara, Grzegorz. "Immersions of module varieties." Colloquium Mathematicae 82.2 (1999): 287-299. <http://eudml.org/doc/210763>.

@article{Zwara1999,
abstract = {We show that a homomorphism of algebras is a categorical epimorphism if and only if all induced morphisms of the associated module varieties are immersions. This enables us to classify all minimal singularities in the subvarieties of modules from homogeneous standard tubes.},
author = {Zwara, Grzegorz},
journal = {Colloquium Mathematicae},
keywords = {module varieties; regular morphisms; immersions; finitely generated algebras; equivariant morphisms; affine varieties; epimorphisms; minimal singularities; Auslander-Reiten quivers},
language = {eng},
number = {2},
pages = {287-299},
title = {Immersions of module varieties},
url = {http://eudml.org/doc/210763},
volume = {82},
year = {1999},
}

TY - JOUR
AU - Zwara, Grzegorz
TI - Immersions of module varieties
JO - Colloquium Mathematicae
PY - 1999
VL - 82
IS - 2
SP - 287
EP - 299
AB - We show that a homomorphism of algebras is a categorical epimorphism if and only if all induced morphisms of the associated module varieties are immersions. This enables us to classify all minimal singularities in the subvarieties of modules from homogeneous standard tubes.
LA - eng
KW - module varieties; regular morphisms; immersions; finitely generated algebras; equivariant morphisms; affine varieties; epimorphisms; minimal singularities; Auslander-Reiten quivers
UR - http://eudml.org/doc/210763
ER -

References

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  11. [11] K J. T. Knight, On epimorphisms of non-commutative rings, Proc. Cambridge Philos. Soc. 68 (1970), 589-600. Zbl0216.33302
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