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CLUSTERS OF VARIETIES OF COMPLETELY REGULAR SEMIGROUPS
PETRICH, M - Personal Name
The class CR of completely regular semigroups equipped with the unary operation of inversion forms a variety whose lattice of subvarieties is denoted by L(CR). The variety B of all bands induces two relations B∧ and B∨ by meet and join with B. Their classes are intervals with lower ends VB∧ and VB∨ , and upper ends VB∧ and VB∨ . These objects induce four operators on L(CR).The cluster at a variety V is the set of all varieties obtained from V by repeated application of these four operators. We identify the cluster at any variety in L(CR).
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| EB00000003198K | Available |
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NONE
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E-Jurnal
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Subject(s)
semigroup
completely regular
variety
relation
operator
lattice
Mathematic
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M. PETRICH
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