One class of representations over trivial extensions of iterated tilted algebras

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概要

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• Let T(A)=A[?]D(Λ) be the trivial extension of iterated tilted algebra A of type △. In this paper, we study the indecomposable T(Λ)-modules belonging to the components of form Z△, which are called the modules on platform. Our main results are as follows: (1) The number of the modules on platform which have the same dimension vector is equal to or less than the number of simple A-modules. (2) The module on platform is nuiquely determined by its top and socle. (3) The module on platform is uniquely determined by its Loewy factor and by its socle factor.

• 筑波大学の論文

著者

• Jie Xiao

  Department Of Mathematics Beijing Normal University

• Pu Zhang

  Department Of Mathematics University Of Science And Technology Of China

関連論文

• One class of representations over trivial extensions of iterated tilted algebras

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