Semigroups and Their Subsemigroup Lattices
0.1. General remarks. For any algebraic system A, the set SubA of all subsystems of A partially ordered by inclusion forms a lattice. This is the subsystem lattice of A. (In certain cases, such as that of semigroups, in order to have the right always to say that SubA is a lattice, we have to treat t...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1996, 1996
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| Edition: | 1st ed. 1996 |
| Series: | Mathematics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- A. Semigroups with Certain Types of Subsemigroup Lattices
- I. Preliminaries
- II. Semigroups with Modular or Semimodular Subsemigroup Lattices
- III. Semigroups with Complementable Subsemigroups
- IV. Finiteness Conditions
- V. Inverse Semigroups with Certain Types of Lattices of Inverse Subsemigroups
- VI. Inverse Semigroups with Certain Types of Lattices of Full Inverse Subsemigroups
- B. Properties of Subsemigroup Lattices
- VII. Lattice Characteristics of Classes of Semigroups
- VIII. Embedding Lattices in Subsemigroup Lattices
- C. Lattice Isomorphisms
- IX. Preliminaries on Lattice Isomorphisms
- X. Cancellative Semigroups
- XI. Commutative Semigroups
- XII. Semigroups Decomposable into Rectangular Bands
- XIII. Semigroups Defined by Certain Presentations
- XIV. Inverse Semigroups
- List of Notations
- List of Subsections Containing Unsolved Problems or Open Questions