Lexicographic semigroupoids
S. C. Power
TL;DR
This paper classifies lexicographic semigroupoids linked to Cantor product spaces and applies this classification to the structure of certain triangular operator algebras formed as direct limits.
Contribution
It introduces a classification of lexicographic semigroupoids for Cantor product spaces and connects this to the classification of specific triangular operator algebras.
Findings
Classification of lexicographic semigroupoids for Cantor product spaces
Application to classification of triangular operator algebras
Insight into direct limit structures of operator algebras
Abstract
The natural lexicographic semigroupoids associated with Cantor product spaces indexed by countable linear orders are classified. Applications are given to the classification of triangular operator algebras which are direct limits of upper triangular matrix algebras.
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Taxonomy
TopicsNatural Language Processing Techniques · Lexicography and Language Studies · linguistics and terminology studies