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ONE CLASS OF REPRESENTATIONS OVER TRIVIAL EXTENSIONS OF ITERATED TILTED ALGEBRAS

Let T(A)= A × D(A) be the trivial extension of iterated tilted algebra A of type ${\vec \Delta }$. In this paper, we study the indecomposable T(A)-modules belonging to the components of form $Z\vec \Delta $, which are called the modules on platform. Our main results are as follows: (1) The... Full description

1st Person: Jie, Xiao
Additional Persons: Pu, Zhang verfasserin
Source: in Tsukuba journal of mathematics Vol. 17, No. 1 (1993), p. 131-141
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Type of Publication: Article
Language: English
Published: 1993
Keywords: research-article
Online: Volltext
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Summary: Let T(A)= A × D(A) be the trivial extension of iterated tilted algebra A of type ${\vec \Delta }$. In this paper, we study the indecomposable T(A)-modules belonging to the components of form $Z\vec \Delta $, 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 uniquely determined by its top and socle. (3) The module on platform is uniquely determined by its Loewy factor and by its socle factor.
Physical Description: Online-Ressource
ISSN: 0387-4982

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