# 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
LEADER 001 003 01442nma a2200265 c 4500 JST113257155 DE-601 20180605115336.0 cr uuu---uuuuu 180605s1993 000 0 eng d 8 |a 43685838 |a 43685838 |b ger  |c GBVCP 0 |a eng 1 |a Jie, Xiao 1 0 |a ONE CLASS OF REPRESENTATIONS OVER TRIVIAL EXTENSIONS OF ITERATED TILTED ALGEBRAS  |h Elektronische Ressource |a Online-Ressource |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. |a research-article 1 |a Pu, Zhang  |e verfasserin  |4 aut 0 8 |i in  |t Tsukuba journal of mathematics  |d Tokyo : Univ. of Tsukuba  |g Vol. 17, No. 1 (1993), p. 131-141  |q 17:1<131-141  |w (DE-601)JST113252811  |x 0387-4982 4 1 |u https://www.jstor.org/stable/43685838  |3 Volltext |a GBV_JSTOR |a AR |d 17  |j 1993  |e 1  |h 131-141

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