AbstractIn this paper we consider irreducible semigroups of matrices over a general field K with traces in a subfield F. Motivated by a result of Omladic–Radjabalipour–Radjavi, we prove a block matrix representation theorem for the F-algebras generated by such semigroups. We use our main results to generalize certain classical triangularization results, e.g., those due to Guralnick and Radjavi. Some other consequences of our main results are presented
AbstractIf S is an irreducible semigroup of complex matrices and if every member of S has nonnegativ...
AbstractLet S⊂M4(C) be a semigroup such that 1 is an eigenvalue of every s∈S. It is shown that S is ...
AbstractIn “Semigroup Algebras,” Okniński posed the following question: characterize semigroup algeb...
AbstractIn this paper we consider irreducible semigroups of matrices over a general field K with tra...
AbstractWe present several extensions of Burnside’s well-known theorem which states that the only ir...
AbstractIt is shown that an irreducible semigroup of n × n complex matrices with real spectra is sim...
AbstractWe present several extensions of Burnside’s well-known theorem which states that the only ir...
AbstractWe define a closure operation on semigroups of matrices over a skew field, and show that a s...
A band is a semigroup consisting of idempotents. It is proved that for any field K and any band S wi...
AbstractLet B(X) be the algebra of bounded operators on a complex Banach space X. Viewing B(X) as an...
AbstractT. Laffey showed (Linear and Multilinear Algebra6(1978), 269–305) that a semigroup of matric...
We show that semigroups representable by triangular matrices over a fixed finite field form a decida...
AbstractWe define a closure operation on semigroups of matrices over a skew field, and show that a s...
AbstractWe prove the following Main Theorem: Let S be an irredundant generating set for the algebra ...
AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algeb...
AbstractIf S is an irreducible semigroup of complex matrices and if every member of S has nonnegativ...
AbstractLet S⊂M4(C) be a semigroup such that 1 is an eigenvalue of every s∈S. It is shown that S is ...
AbstractIn “Semigroup Algebras,” Okniński posed the following question: characterize semigroup algeb...
AbstractIn this paper we consider irreducible semigroups of matrices over a general field K with tra...
AbstractWe present several extensions of Burnside’s well-known theorem which states that the only ir...
AbstractIt is shown that an irreducible semigroup of n × n complex matrices with real spectra is sim...
AbstractWe present several extensions of Burnside’s well-known theorem which states that the only ir...
AbstractWe define a closure operation on semigroups of matrices over a skew field, and show that a s...
A band is a semigroup consisting of idempotents. It is proved that for any field K and any band S wi...
AbstractLet B(X) be the algebra of bounded operators on a complex Banach space X. Viewing B(X) as an...
AbstractT. Laffey showed (Linear and Multilinear Algebra6(1978), 269–305) that a semigroup of matric...
We show that semigroups representable by triangular matrices over a fixed finite field form a decida...
AbstractWe define a closure operation on semigroups of matrices over a skew field, and show that a s...
AbstractWe prove the following Main Theorem: Let S be an irredundant generating set for the algebra ...
AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algeb...
AbstractIf S is an irreducible semigroup of complex matrices and if every member of S has nonnegativ...
AbstractLet S⊂M4(C) be a semigroup such that 1 is an eigenvalue of every s∈S. It is shown that S is ...
AbstractIn “Semigroup Algebras,” Okniński posed the following question: characterize semigroup algeb...
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