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6. Derived tame Nakayama algebras.

Author

Bekkert, Viktor, Giraldo, Hernán, and Vélez-Marulanda, José A.

Abstract

We determine the derived representation type of Nakayama algebras and prove that a derived tame Nakayama algebra without simple projective module is gentle or derived equivalent to some skewed-gentle algebra, and as a consequence, we determine its singularity category. [ABSTRACT FROM AUTHOR]

Published
2021
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7. Tree Oriented Pullback.

Author

Bekkert, Viktor, Coelho, FlávioU., and Wagner, Heily

Subjects
DIFFERENTIAL operators, DIFFERENTIAL equations, OPERATOR theory, MATHEMATICAL analysis, FROBENIUS algebras, ASSOCIATIVE algebras, FROBENIUS groups, GROUP theory
Abstract

Given two epimorphisms of algebrasA ↠ BandC ↠ B, we consider the pullbackR. We introduce a particular class of algebras, thetree oriented pullback, where there is a close relationship between the category of indecomposable modules of these algebras. This leads us to prove that ifAandCare hereditary algebras, thenRis a tilted algebra. [ABSTRACT FROM AUTHOR]

Published
2015
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9. Derived Categories of Schur Algebras.

Author

Bekkert, Viktor and Futorny, Vyacheslav

Subjects
*ALGEBRA, *CATEGORIES (Mathematics)
Abstract

In this paper we classify the derived tame Schur and infinitesimal Schur algebras and describe indecomposable objects in their derived categories. [ABSTRACT FROM AUTHOR]

Published
2003
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