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Algebras stably equivalent to Nakayama algebras of Loewy length at most 4

Published online by Cambridge University Press:  09 April 2009

Idun Reiten
Idun Reiten
Affiliation:
Department of MathematicsUniversity of Trondheim, NLHT 7000 Trondheim, Norway
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Abstract

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Two artin algebras Λ and Λ′ are said to be stably equivalent if their categories of finitely generated modules modulo projectives are equivalent. In this paper a characterization is given of the artin algebras stably equivalent to Nakayama algebras of Loewy length (at most) four. The proof is an illustration of the technique of using irreducible maps to study problems about stable equivlence.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 1 , February 1979 , pp. 37 - 50
Copyright
Copyright © Australian Mathematical Society 1979

References

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