Main Article Content
Abstract
In this paper we give necessary and sufficient conditions on a semigroup S that it be semilattice of groups, a normal band of groups, and a matrix of groups.
Keywords
semigroup
band
semilattice
band of semigroup
Article Details
How to Cite
Davvaz, B. (2015). A SHORT NOTE ON BANDS OF GROUPS. Journal of the Indonesian Mathematical Society, 21(1), 19–23. https://doi.org/10.22342/jims.21.1.151.19-23
References
- S. Bogdanovic, Z. Popovic and M. Ciric, {it Bands of $lambda$-simple semigroups}, Filomat 24(4) (2010) 77-85.
- M. Ciric and S. Bogdanovic, {it Sturdy bands of semigroups}, Collect. Math., 41 (1990) 189-195.
- A.H. Clifford, {it Bands of semigroups}, Proc. Amer. Math. Soc., 5 (1954). 499-504.
- Z. Juhasz and A. Vernitski, {it Using filters to describe congruences and band congruences of semigroups},
- Semigroup Forum, 83 (2) (2011) 320-334.
- M. Mitrovic, {it On semilattices of Archimedean semigroups -- a survey}, Semigroups and Languages, 163--195, World Sci. Publ., River Edge, NJ, 2004.
References
S. Bogdanovic, Z. Popovic and M. Ciric, {it Bands of $lambda$-simple semigroups}, Filomat 24(4) (2010) 77-85.
M. Ciric and S. Bogdanovic, {it Sturdy bands of semigroups}, Collect. Math., 41 (1990) 189-195.
A.H. Clifford, {it Bands of semigroups}, Proc. Amer. Math. Soc., 5 (1954). 499-504.
Z. Juhasz and A. Vernitski, {it Using filters to describe congruences and band congruences of semigroups},
Semigroup Forum, 83 (2) (2011) 320-334.
M. Mitrovic, {it On semilattices of Archimedean semigroups -- a survey}, Semigroups and Languages, 163--195, World Sci. Publ., River Edge, NJ, 2004.