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Several types of plot structure with Pastijn semigroups and congruence of

Author: GongKeTao
Tutor: LiYongHua
School: South China Normal University
Course: Basic mathematics
Keywords: E- unitary inverse semigroups basic rectangular band L- unipotent semigroup L- unipotent semigroup with Congruence Congruence lattice Local orthodox semigroup Pastijn plot Nuclear trace operator Semigroup
CLC: O152
Type: Master's thesis
Year: 2007
Downloads: 20
Quote: 0
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Abstract


Object of this paper is a partial inverse semigroups , partial L- unipotent semigroup congruences and local orthodox semigroup structure . First studied the E- unitary inverse semigroups basic rectangular band structure representation , with semilattice congruence on and completely simple semigroup congruences portrayed E- unitary inverse semigroups on basic rectangular band congruence and congruence lattice . The second part is to get E- unitary inverse semigroup on a substantially rectangular band congruence and congruence lattice characterization , based on the description of congruence lattices nuclear trace operator , and these operators generated by the operator semi- group structure , the obtained result is completely simple semigroup semigroup results expansion. The third section discusses the L- unipotent semigroup belt band congruence congruence lattice composed with band congruence portrayed several categories unipotent semigroup L- band . Finally, Pastijn plot as a tool, with belt and completely simple semigroup construct a class of locally orthodox semigroups , semigroups Pastijn of such product in the form of classified discussions , and gives a partial structure with Pastijn pure product semigroup is locally inverse semigroups conditions .

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