On restrictions of generic modules of tame algebras

Raymundo Bautista; Efrén Pérez; Leonardo Salmerón

Open Mathematics (2013)

  • Volume: 11, Issue: 3, page 423-434
  • ISSN: 2391-5455

Abstract

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Given a convex algebra ∧0 in the tame finite-dimensional basic algebra ∧, over an algebraically closed field, we describe a special type of restriction of the generic ∧-modules.

How to cite

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Raymundo Bautista, Efrén Pérez, and Leonardo Salmerón. "On restrictions of generic modules of tame algebras." Open Mathematics 11.3 (2013): 423-434. <http://eudml.org/doc/269322>.

@article{RaymundoBautista2013,
abstract = {Given a convex algebra ∧0 in the tame finite-dimensional basic algebra ∧, over an algebraically closed field, we describe a special type of restriction of the generic ∧-modules.},
author = {Raymundo Bautista, Efrén Pérez, Leonardo Salmerón},
journal = {Open Mathematics},
keywords = {Differential tensor algebras; Ditalgebras; Reduction functors; Endolength; Generic modules; Tame algebras; finite-dimensional basic algebras; differential tensor algebras; ditalgebras; reduction functors; endolengths; generic modules; tame algebras},
language = {eng},
number = {3},
pages = {423-434},
title = {On restrictions of generic modules of tame algebras},
url = {http://eudml.org/doc/269322},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Raymundo Bautista
AU - Efrén Pérez
AU - Leonardo Salmerón
TI - On restrictions of generic modules of tame algebras
JO - Open Mathematics
PY - 2013
VL - 11
IS - 3
SP - 423
EP - 434
AB - Given a convex algebra ∧0 in the tame finite-dimensional basic algebra ∧, over an algebraically closed field, we describe a special type of restriction of the generic ∧-modules.
LA - eng
KW - Differential tensor algebras; Ditalgebras; Reduction functors; Endolength; Generic modules; Tame algebras; finite-dimensional basic algebras; differential tensor algebras; ditalgebras; reduction functors; endolengths; generic modules; tame algebras
UR - http://eudml.org/doc/269322
ER -

References

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  1. [1] Assem I., Simson D., Skowronski A., Elements of the Representation Theory of Associative Algebras, 1, London Math. Soc. Stud. Texts, 65, Cambridge University Press, Cambridge, 2006 http://dx.doi.org/10.1017/CBO9780511614309[Crossref] Zbl1092.16001
  2. [2] Bautista R., Pérez E., Salmerón L., On restrictions of indecomposables of tame algebras, Colloq. Math., 2011, 124(1), 35–60 http://dx.doi.org/10.4064/cm124-1-4[Crossref] Zbl1264.16012
  3. [3] Bautista R., Pérez E., Salmerón L., On generically tame algebras over perfect fields, Adv. Math., 2012, 231(1), 436–481 http://dx.doi.org/10.1016/j.aim.2012.04.029[Crossref][WoS] Zbl1287.16019
  4. [4] Bautista R., Salmerón L., Zuazua R., Differential Tensor Algebras and their Module Categories, London Math. Soc. Lecture Note Ser., 362, Cambridge University Press, Cambridge, 2009 http://dx.doi.org/10.1017/CBO9781139107105[Crossref] Zbl1266.16007
  5. [5] Crawley-Boevey W.W., Tame algebras and generic modules, Proc. London Math. Soc., 1991, 63(2), 241–265 http://dx.doi.org/10.1112/plms/s3-63.2.241[Crossref] Zbl0741.16005
  6. [6] Drozd Yu.A., Tame and wild matrix problems, In: Representations and Quadratic Forms, 154, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1979, 39–74 (in Russian) 
  7. [7] Simson D., Skowronski A., Elements of the Representation Theory of Associative Algebras, 2, London Math. Soc. Stud. Texts, 71, Cambridge University Press, Cambridge, 2007 http://dx.doi.org/10.1017/CBO9780511619403[Crossref] Zbl1131.16001

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