Yuriy A. Drozd, “Derived tame and derived wild algebras”, Algebra Discrete Math., 2004, no. 1, 57

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Algebra and Discrete Mathematics, 2004, Issue 1, Pages 57–74 (Mi adm328)

This article is cited in 9 scientific papers (total in 9 papers)

RESEARCH ARTICLE

Derived tame and derived wild algebras

Yuriy A. Drozd

Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 01033 Kyiv, Ukraine

Full-text PDF (298 kB) Citations (9)

Abstract: We prove that every finite dimensional algebra over an algebraically closed field is either derived tame or derived wild. We also prove that any deformation of a derived wild algebra is derived wild.

Keywords: derived categories, derived tame and derived wild algebras, deformations of algebras, matrix problems, representations of boxes.

Received: 16.10.2003
Revised: 31.01.2004

Bibliographic databases:

Document Type: Article

MSC: 16G60; 15A21, 16D90, 16E05

Language: English

Citation: Yuriy A. Drozd, “Derived tame and derived wild algebras”, Algebra Discrete Math., 2004, no. 1, 57–74

Citation in format AMSBIB

\Bibitem{Dro04}

\by Yuriy~A.~Drozd

\paper Derived tame and derived wild algebras

\jour Algebra Discrete Math.

\yr 2004

\issue 1

\pages 57--74

\mathnet{http://mi.mathnet.ru/adm328}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2051381}

\zmath{https://zbmath.org/?q=an:1067.16028}

Linking options:

https://www.mathnet.ru/eng/adm328

https://www.mathnet.ru/eng/adm/y2004/i1/p57

This publication is cited in the following 9 articles:

Bekkert V., Giraldo H., Velez-Marulanda J.A., “Derived Tame Nakayama Algebras”, Proc. Amer. Math. Soc., 149:11 (2021), 4555–4567
Chen J., Gao Zh., Wicks E., Zhang J.J., Zhang X., Zhu H., “Frobenius-Perron Theory of Endofunctors”, Algebr. Number Theory, 13:9 (2019), 2005–2055
Futorny V., Marko F., “Derived Representation Type of Schur Superalgebras”, Commun. Algebr., 42:8 (2014), 3381–3385
Li Fang, Sun LongGang, “Derived Representation Type and Gorenstein Projective Modules of an Algebra Under Crossed Product”, Sci. China-Math., 56:3 (2013), 531–540
Voloshyn D.E., Drozd Yu.A., “Derived Categories of Nodal Curves”, Ukr. Math. J., 64:8 (2013), 1177–1184
Bekkert V., Drozd Yu., Futorny V., “Derived Tame Local and Two-Point Algebras”, J. Algebra, 322:7 (2009), 2433–2448
Bekkert V., Drozd Yu., “Derived Categories for Algebras with Radical Square Zero”, Algebras, Representations and Applications, Contemporary Mathematics, 483, eds. Futorny V., Kac V., Kashuba I., Zelmanov E., 2009, 55–62
B. Z. Shavarovskii, “Similarity transformations of decomposable matrix polynomials and related questions”, Comput. Math. Math. Phys., 49:9 (2009), 1469–1482
Bautista R., “On Derived Tame Algebras”, Bol. Soc. Mat. Mex., 13:1 (2007), 25–54

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	304
Full-text PDF :	152
References:	5
First page:	1

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