On restrictions of generic modules of tame algebras

• Autorzy: Raymundo Bautista , Efrén Pérez , Leonardo Salmerón
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Differential tensor algebras; Ditalgebras; Reduction functors; Endolength; Generic modules; Tame algebras

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 16G99: None of the above, but in this section
• 16G60: Representation type (finite, tame, wild, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 3
• Strony: 423-434

Daty

wydano

2013-03-01

online

2012-12-22

Twórcy

autor

Raymundo Bautista

• Centro de Ciencias Matemáticas, Universidad Nacional Autónoma de México, Morelia, 58089, México

autor

Efrén Pérez

• Facultad de Matemáticas, Universidad Autónoma de Yucatán, Mérida, 97119, México

autor

Leonardo Salmerón

• Centro de Ciencias Matemáticas, Universidad Nacional Autónoma de México, Morelia, 58089, México

Bibliografia

• [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]
• [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]
• [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]
• [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]
• [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]
• [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] 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]

Identyfikatory

DOI

10.2478/s11533-012-0153-0