Derived tame quadratic string algebras

被引：0

作者：

Fonseca, Marlon Pimenta ^{[1
]}

机构：

[1] Univ Fed Lavras, Dept Matemat & Matemat Aplicada, Lavras, MG, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 04期

关键词：

Representations of algebras; derived tame algebras; quadratic string algebras; Primary; Secondary; CATEGORIES; INDECOMPOSABLES;

D O I：

10.1080/00927872.2021.1986832

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we determine the derived representation type of quadratic string algebras and we prove that every derived tame quadratic string algebra whose quiver has cycles is derived equivalent to some skewed-gentle algebra.

引用

页码：1662 / 1684

页数：23

共 27 条

[11]

Drozd, 2003, ARXIV0310352

[12]

Drozd Y, 2013, ALGEBRA DISCRET MATH, V15, P179

[13] CORRECTION [J].

GABRIEL, P .

MANUSCRIPTA MATHEMATICA, 1972, 6 (03) :309-&

[14]

Gabriel P., 1981, LECT NOTES MATH, V903, P68

[15]

Geiss C, 1999, BOL SOC MAT MEX, V5, P307

[16] Derived tame algebras and Euler-forms [J].

Geiss, C .

MATHEMATISCHE ZEITSCHRIFT, 2002, 239 (04) :829-862

[17] ON THE NOTION OF DERIVED TAMENESS [J].

Geiss, Christof ;

Krause, Henning .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2002, 1 (02) :133-157

[18]

Green, 1980, REPRESENTATIONS ALGE, V903, P106

[19]

LADKANI S., 2010, ARXIV10014765

[20] THE UNIVERSAL COVER OF A QUIVER WITH RELATIONS [J].

MARTINEZVILLA, R ;

DELAPENA, JA .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1983, 30 (03) :277-292

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