INDECOMPOSABLE NON UNISERIAL MODULES OF LENGTH THREE

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International Electronic Journal of Algebra
Volume:27 Issue:27
INDECOMPOSABLE NON UNISERIAL MODULES OF LENGTH THREE

INDECOMPOSABLE NON UNISERIAL MODULES OF LENGTH THREE

Authors : Gabriella D`ESTE

Pages : 218-236

Doi:10.24330/ieja.663075

View : 43 | Download : 6

Publication Date : 2020-01-07

Article Type : Research Paper

Abstract :We investigate a particular class of indecomposable modules of length three, defined over a $K$--algebra, with a simple socle and two non isomorphic simple factor modules. These modules may have any projective dimension different from zero. On the other hand their composition factors may have any countable dimension as vector spaces over the underlying field $K$. Moreover their endomorphism rings are $K$--vector spaces of dimension $\leq 2$.
Keywords : Pseudo projective module, quasi projective module, quiver and representation

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