Abstract
This chapter contains basic first properties of commutative semigroups: idempotents, subsemigroups, homomorphisms and congruences, ideals, ideal extensions, ℋ-classes and Schützenberger groups, free commutative semigroups, presentations. It is written for readers who are not familiar with semigroups and can therefore expect a few surprises.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Grillet, P.A. (2001). Elementary Properties. In: Commutative Semigroups. Advances in Mathematics, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3389-1_1
Download citation
DOI: https://doi.org/10.1007/978-1-4757-3389-1_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4857-1
Online ISBN: 978-1-4757-3389-1
eBook Packages: Springer Book Archive