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

[1]

[Anonymous], 1981, Lecture Notes in Math.

[2] ITERATED TILTED ALGEBRAS OF TYPE AN [J].

ASSEM, I ;

SKOWRONSKI, A .

MATHEMATISCHE ZEITSCHRIFT, 1987, 195 (02) :269-290

[3]

AUSLANDER M, 1979, T AM MATH SOC, V250, P1

[4] REPRESENTATION-FINITE ALGEBRAS AND MULTIPLICATIVE BASES [J].

BAUTISTA, R ;

GABRIEL, P ;

ROITER, AV ;

SALMERON, L .

INVENTIONES MATHEMATICAE, 1985, 81 (02) :217-285

[5] The bounded derived categories of an algebra with radical squared zero [J].

Bautista, Raymundo ;

Liu, Shiping .

JOURNAL OF ALGEBRA, 2017, 482 :303-345

[6] Indecomposables in derived categories of gentle algebras [J].

Bekkert, V ;

Merklen, HA .

ALGEBRAS AND REPRESENTATION THEORY, 2003, 6 (03) :285-302

[7] Indecomposables in derived categories of skewed-gentle algebras [J].

Bekkert, V ;

Marcos, EN ;

Merklen, HA .

COMMUNICATIONS IN ALGEBRA, 2003, 31 (06) :2615-2654

[8]

Bekkert V, 2009, CONTEMP MATH, V483, P55

[9] Derived-tame tree algebras [J].

Brüstle, T .

COMPOSITIO MATHEMATICA, 2001, 129 (03) :301-323

[10] Skew category, galois covering and smash product of a k-category [J].

Cibils, C ;

Marcos, EN .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (01) :39-50

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