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- W2259908508 abstract "We show that, also within the class of representation-tame finite dimensional algebras $Lambda$, the big left finitistic dimension of $Lambda$ may be strictly larger than the little. In fact, the discrepancies $Findim Lambda - findim Lambda$ need not even be bounded for special biserial algebras which constitute one of the (otherwise) most thoroughly understood classes of tame algebras. More precisely: For every positive integer $r$, we construct a special biserial algebra $Lambda$ with the property that $findim Lambda = r + 1$, while $Findim Lambda = 2r + 1$. In particular, there are infinite dimensional representations of $Lambda$ which have finite projective dimension, while not being direct limits of {it finitely generated/} representations of finite projective dimension." @default.
- W2259908508 created "2016-06-24" @default.
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- W2259908508 date "2015-09-26" @default.
- W2259908508 modified "2023-09-28" @default.
- W2259908508 title "Representation-tame algebras need not be homologically tame" @default.
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