Generalized double tilted algebras

Idun REITEN; Andrzej SKOWRONSKI

doi:10.2969/jmsj/1191418706

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Generalized double tilted algebras

Idun REITEN, Andrzej SKOWRONSKI

著者情報

キーワード: Tilted algebra, AR-quiver, artin algebra

ジャーナルフリー

2004 年 56 巻 1 号 p. 269-288

DOI https://doi.org/10.2969/jmsj/1191418706

詳細

抄録

We introduce the class of generalized double tilted artin algebras and prove that it coincides with the class of artin algebras whose AR-quiver admits a faithful generalized standard almost directed component. A homological characterization of faithful generalized standard almost directed components is also established.