# 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 Pu, Zhang verfasserin in Tsukuba journal of mathematics Vol. 17, No. 1 (1993), p. 131-141 More Articles Article English 1993 research-article Volltext
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. Online-Ressource 0387-4982

#### Similar Items

• By: Rudin, Walter Published: (1973)
• Published: (1946)
• Published: (1883)

• By: Romanova, Olena Published: (2008)
• Published: (1998)

Library Services

Search Options