Book overview
This book is concerned with the structure of linear semigroups, that is, subsemigroups of the multiplicative semigroup Mn(K) of n
Semigroups of Matrices (V6)
Structure and applications of linear semigroups
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AlbakiReads Editorial
Structure and applications of linear semigroups
Okninski examines subsemigroups of matrix multiplication over fields, with a broader scope that also includes skew linear semigroups over division rings. The book organizes results on their structure around a theorem that makes techniques from linear group theory available, then connects the subject with combinatorial questions, linear representations, and problems in associative algebras. Its 311 pages present these strands together as a unified account of the area’s results, making the book both a focused study of matrix semigroups and a map of their links to neighboring topics in algebra.
Good fit for readers who enjoy
- Mathematicians studying matrix semigroups and their structure
- Readers interested in connections among semigroup theory, linear representations, and associative algebras
Themes
Linear semigroupsMatrix theoryLinear representationsAssociative algebras
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