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MODULES OF INFINITE PROJECTIVE DIMENSION OVER ALGEBRAS WHOSE IDEMPOTENT IDEALS ARE PROJECTIVE
Flávio U. Coelho, Eduardo N. Marcos, Héctor A. Merklen and María I. Platzeck
Tsukuba Journal of Mathematics
Vol. 21, No. 2 (October 1997), pp. 345-359
Published by: Editorial Committee of Tsukuba Journal of Mathematics
Stable URL: http://www.jstor.org/stable/43686022
Page Count: 15
You can always find the topics here!Topics: Algebra, Vertices, Quivers, Arrows, Mathematical rings, Isomorphism, Mathematical theorems, Mathematics, Input output, Abstract algebra
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Let A be a finite dimension algebra over an algebraically closed field such that all its idempotent ideals are protective. We show that if A is representation-infinite and not hereditary, then there exist infinitely many nonisomorphic indecomposable A-modules of infinite projective dimension.
Tsukuba Journal of Mathematics © 1997 Editorial Committee of Tsukuba Journal of Mathematics