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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Semigroups Of Matrices (Hardcover)
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Semigroups Of Matrices (Hardcover)
Series: Series In Algebra, 6
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This book is concerned with the structure of linear semigroups,
that is, subsemigroups of the multiplicative semigroup Mn(K) of n x
n matrices over a field K (or, more generally, skew linear
semigroups - if K is allowed to be a division ring) and its
applications to certain problems on associative algebras,
semigroups and linear representations. It is motivated by several
recent developments in the area of linear semigroups and their
applications. It summarizes the state of knowledge in this area,
presenting the results for the first time in a unified form. The
book's point of departure is a structure theorem, which allows the
use of powerful techniques of linear groups. Certain aspects of a
combinatorial nature, connections with the theory of linear
representations and applications to various problems on associative
algebras are also discussed.
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