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A note on hereditary semigroup algebras. (English) Zbl 1083.16019

Nam, Ki-Bong (ed.) et al., Pragmatic algebra. Delhi: SAS International Publications (ISBN 81-88296-02-3/hbk). 181-186 (2006).
Summary: We give a new computational proof of when semigroup algebras \(K_0[S^1]\) of non-null Rees matrix semigroups \(S={\mathcal M}^0(1;N,M;P)\) are hereditary.
For the entire collection see [Zbl 1078.00017].

MSC:

16S36 Ordinary and skew polynomial rings and semigroup rings
20M25 Semigroup rings, multiplicative semigroups of rings
20M10 General structure theory for semigroups
16E60 Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc.
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