Ebook: Semigroups and Their Applications: Proceedings of the International Conference “Algebraic Theory of Semigroups and Its Applications” held at the California State University, Chico, April 10–12, 1986

Most papers published in this volume are based on lectures presented at the Chico Conference on Semigroups held on the Chico campus of the Cal­ ifornia State University on April 10-12, 1986. The conference was spon­ sored by the California State University, Chico in cooperation with the Engineering Computer Sciences Department of the Pacific Gas and Electric Company. The program included seven 50-minute addresses and seventeen 30-minute lectures. Speakers were invited by the organizing committee consisting of S. M. Goberstein and P. M. Higgins. The purpose of the conference was to bring together some of the leading researchers in the area of semigroup theory for a discussion of major recent developments in the field. The algebraic theory of semigroups is growing so rapidly and new important results are being produced at such a rate that the need for another meeting was well­ justified. It was hoped that the conference would help to disseminate new results more rapidly among those working in semi groups and related areas and that the exchange of ideas would stimulate research in the subject even further. These hopes were realized beyond all expectations.

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Content:
Front Matter....Pages i-xiv
Implicit Operations on Certain Classes of Semigroups....Pages 1-11
Finite Idempotent-Commuting Semigroups....Pages 13-23
Finite Semigroups Whose Idempotents Commute or Form a Subsemigroup....Pages 25-35
Inverse Semigroups with Countable Universal Semilattices....Pages 37-42
The Identity Element in Inverse Semigroup Algebras....Pages 43-46
Free Bands and Free *-Bands....Pages 47-50
Finite Inverse Semigroups and Amalgamation....Pages 51-56
Rank Properties in Semigroups of Mappings....Pages 57-60
Inverse Semigroups whose Lattices of Full Inverse Subsemigroups are Modular....Pages 61-67
Basis Properties, Exchange Properties and Embeddings in Idempotent-Free Semigroups....Pages 69-82
Lattices of Torsion Theories for Semi-Automata....Pages 83-90
The Countability Indices of Certain Transformation Semigroups....Pages 91-97
Some Decision Problems for Inverse Monoid Presentations....Pages 99-110
A Class of Inverse Semigroup Algebras....Pages 111-119
Categorical Extension Theory — Revisited....Pages 121-124
A Class of Uniform Chains....Pages 125-132
Cayley Theorems for Semigroups....Pages 133-138
Power Semigroups and Related Varieties of Finite Semigroups....Pages 139-152
On the Lattice of Varieties of Completely Regular Semigroups....Pages 153-167
New Techniques in Global Semigroup Theory....Pages 169-181
Finite J-Trivial Monoids and Partially Ordered Monoids....Pages 183-189
On the Recent Results in the Study of Power Semigroups....Pages 191-200
Type II Redux....Pages 201-205
Back Matter....Pages 207-211

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Content:
Front Matter....Pages i-xiv
Implicit Operations on Certain Classes of Semigroups....Pages 1-11
Finite Idempotent-Commuting Semigroups....Pages 13-23
Finite Semigroups Whose Idempotents Commute or Form a Subsemigroup....Pages 25-35
Inverse Semigroups with Countable Universal Semilattices....Pages 37-42
The Identity Element in Inverse Semigroup Algebras....Pages 43-46
Free Bands and Free *-Bands....Pages 47-50
Finite Inverse Semigroups and Amalgamation....Pages 51-56
Rank Properties in Semigroups of Mappings....Pages 57-60
Inverse Semigroups whose Lattices of Full Inverse Subsemigroups are Modular....Pages 61-67
Basis Properties, Exchange Properties and Embeddings in Idempotent-Free Semigroups....Pages 69-82
Lattices of Torsion Theories for Semi-Automata....Pages 83-90
The Countability Indices of Certain Transformation Semigroups....Pages 91-97
Some Decision Problems for Inverse Monoid Presentations....Pages 99-110
A Class of Inverse Semigroup Algebras....Pages 111-119
Categorical Extension Theory — Revisited....Pages 121-124
A Class of Uniform Chains....Pages 125-132
Cayley Theorems for Semigroups....Pages 133-138
Power Semigroups and Related Varieties of Finite Semigroups....Pages 139-152
On the Lattice of Varieties of Completely Regular Semigroups....Pages 153-167
New Techniques in Global Semigroup Theory....Pages 169-181
Finite J-Trivial Monoids and Partially Ordered Monoids....Pages 183-189
On the Recent Results in the Study of Power Semigroups....Pages 191-200
Type II Redux....Pages 201-205
Back Matter....Pages 207-211
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