Topic
Cancellative semigroup
About: Cancellative semigroup is a research topic. Over the lifetime, 1320 publications have been published within this topic receiving 13319 citations.
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01 Jan 1987
2 citations
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TL;DR: In this paper, the authors constructed a complete set of primitive orthogonal idempotents for any finite Brandt semigroup algebra and defined a new class of codes called Brandt semiigroup codes and computed the Cartan matrices of some Brandt algebras.
Abstract: In this paper, we construct a complete set of primitive orthogonal idempotents for any finite Brandt semigroup algebra. As applications, we define a new class of codes called Brandt semigroup codes and compute the Cartan matrices of some Brandt semigroup algebras. We also study the supports, Hamming distances, and minimum weights of Brandt semigroup codes.
2 citations
1 citations
TL;DR: In this paper, it was shown that any compact semigroup of n× n positive matrices is similar (via a positive diagonal similarity) to a semigroup bounded by √ n.
Abstract: We show that any compact semigroup of n× n positive matrices is similar (via a positive diagonal similarity) to a semigroup bounded by √ n. We give examples to show this bound is best possible. We also consider the effect of additional conditions on the semigroup and obtain improved bounds in some cases.
1 citations