Keywords
- Maximal Subgroup
- Inverse Semigroup
- Congruence Lattice
- Subdirect Product
- Simple Semigroup
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J. L. Chrislock, A certain class of identities on semigroups, Proc. Amer. Math. Soc. 21 (1969), 189–190.
T. Evans, The lattice of semigroup varieties, Semigroup Forum 2 (1971), 1–43.
R. Freese and J. B. Nation, Congruence lattices of semilattices, Pacific J. Math. 49 (1973), 51–58.
G. Grätzer, General Lattice Theory, Academic Press, New York, 1978.
G. Grätzer, Universal Algebra, Second Edition, Springer-Verlag, New York, 1979.
T. E. Hall, On the lattice of congruences on a semilattice, J. Austral. Math. Soc. 12 (1971), 456–460.
J. M. Howie, An Introduction to Semigroup Theory, Academic Press, London, 1976.
P. R. Jones, On congruence lattices of regular semigroups, J. Algebra 82 (1983), 18–39.
G. Lallement, Congruences et équivalences sur un demi-groupe régulier, C. R. Acad. Sci. Paris, Sér. A. 262 (1966), 613–616.
G. Lallement, Demi-groupes réguliers, Ann. Mat. pura.ed.appl. 77 (1967), 47–129.
S. W. Margolis and J. E. Pin, Varieties of finite monoids and topology for the free monoid, Proc. Marquette Conf. on Semigroups, Marquette University (1984), 113–130.
M. Petrich, Inverse Semigroups, Wiley, New York, 1914.
D. C. Trueman, The lattice of congruences on direct products of cyclic semigroups and certain other semigroups, Proc. Roy. Soc. Edinburgh 95A (1983), 203–214.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Jones, P.R. (1988). Congruence semimodular varieties of semigroups. In: Jürgensen, H., Lallement, G., Weinert, H.J. (eds) Semigroups Theory and Applications. Lecture Notes in Mathematics, vol 1320. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083429
Download citation
DOI: https://doi.org/10.1007/BFb0083429
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19347-0
Online ISBN: 978-3-540-39225-5
eBook Packages: Springer Book Archive
