Self-injective artin algebras without short cycles in the component quiver

Maciej KARPICZ

doi:10.2969/jmsj/06810051

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Home > Journals > J. Math. Soc. Japan > Volume 68 > Issue 1 > Article

January, 2016 Self-injective artin algebras without short cycles in the component quiver

Maciej KARPICZ

J. Math. Soc. Japan 68(1): 51-69 (January, 2016). DOI: 10.2969/jmsj/06810051

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Abstract

We give a complete description of all self-injective artin algebras of infinite representation type whose component quiver has no short cycles.

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Maciej KARPICZ. "Self-injective artin algebras without short cycles in the component quiver." J. Math. Soc. Japan 68 (1) 51 - 69, January, 2016. https://doi.org/10.2969/jmsj/06810051

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Published: January, 2016

First available in Project Euclid: 25 January 2016

zbMATH: 1346.16007

MathSciNet: MR3454552

Digital Object Identifier: 10.2969/jmsj/06810051

Subjects:

Primary: 16D50

Secondary: 16G10 , 16G70

Keywords: component quiver , orbit algebra , quasitilted algebra , quasi-tube , self-injective artin algebra , short cycle

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J. Math. Soc. Japan

Vol.68 • No. 1 • January, 2016

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Maciej KARPICZ "Self-injective artin algebras without short cycles in the component quiver," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 68(1), 51-69, (January, 2016)

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