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33
FUNDAMENTAL SEMIGROUPS HAVING A BAND OF IDEMPOTENTS
, 2007
"... The construction by Hall of a fundamental orthodox semigroup WB from a band B provides an important tool in the study of orthodox semigroups. We present here a semigroup SB that plays the role of WB for a class of semigroups having a band of idempotents B. Specifically, the semigroups we consider a ..."
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Cited by 1 (0 self)
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The construction by Hall of a fundamental orthodox semigroup WB from a band B provides an important tool in the study of orthodox semigroups. We present here a semigroup SB that plays the role of WB for a class of semigroups having a band of idempotents B. Specifically, the semigroups we consider
Fundamental representations for classes of semigroups containing a band of idempotents
 COMMUNICATIONS IN ALGEBRA ® , 36: 2998–3031, 2008
, 2008
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On the Structure of Semigroups of Idempotent Matrices
"... We prove that any pure regular band of matrices admits a simultaneous LU decomposition in the standard form. In case that such a band forms a doubleband called a skew lattice, we obtain the standard form without the assumption of purity. ..."
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We prove that any pure regular band of matrices admits a simultaneous LU decomposition in the standard form. In case that such a band forms a doubleband called a skew lattice, we obtain the standard form without the assumption of purity.
Extensions and Covers for Semigroups whose Idempotents form a Left Regular Band
, 2010
"... Proper extensions that are “injective on Lrelated idempotents” of Runipotent semigroups, and much more generally of the class of generalised left restriction semigroups possessing the ample and congruence conditions, referred to here as glrac semigroups, are described as certain subalgebras of a ..."
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Cited by 3 (3 self)
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Proper extensions that are “injective on Lrelated idempotents” of Runipotent semigroups, and much more generally of the class of generalised left restriction semigroups possessing the ample and congruence conditions, referred to here as glrac semigroups, are described as certain subalgebras of a
Complexity Issues of the Pattern Equations in Idempotent Semigroups
, 1999
"... A pattern equation is a word equation of the form X = A where X is a sequence of variables and A is a sequence of constants. The problem whether X = A has a solution in a free idempotent semigroup (free band) is shown to be NPcomplete. ..."
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Cited by 2 (1 self)
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A pattern equation is a word equation of the form X = A where X is a sequence of variables and A is a sequence of constants. The problem whether X = A has a solution in a free idempotent semigroup (free band) is shown to be NPcomplete.
A note on maximal subgroups of free idempotent generated semigroups over bands
 PERIODICA MATH. HUNGAR
, 2011
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ABSTRACT On the Importance of Idempotence
"... Range searching is among the most fundamental problems in computational geometry. An nelement point set in R d is given along with an assignment of weights to these points from some commutative semigroup. Subject to a fixed space of possible range shapes, the problem is to preprocess the points so ..."
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Range searching is among the most fundamental problems in computational geometry. An nelement point set in R d is given along with an assignment of weights to these points from some commutative semigroup. Subject to a fixed space of possible range shapes, the problem is to preprocess the points so
The Lattice of Pseudovarieties of Idempotent Semigroups and a NonRegular Analogue
"... : We use classical results on the lattice L(B) of varieties of band (idempotent) semigroups to obtain information on the structure of the lattice P s(DA) of subpseudovarieties of DA,  where DA is the largest pseudovariety of finite semigroups in which all regular semigroups are band semigroups. ..."
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Cited by 13 (5 self)
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: We use classical results on the lattice L(B) of varieties of band (idempotent) semigroups to obtain information on the structure of the lattice P s(DA) of subpseudovarieties of DA,  where DA is the largest pseudovariety of finite semigroups in which all regular semigroups are band semigroups
Results 1  10
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33