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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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520 |a 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. 
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952 |d 17  |j 1993  |e 1  |h 131-141 

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