Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Abel-Grassmann\'s bands
Authors: P. V. Protic', N. Stevanovic'
– 0.39 Mb
Abstract
Abel-Grassmann’s groupoids or shortly AG-groupoids have been considered in a number of papers, although under the different names. In some papers they are named LA-semigroups [3] in others left invertive groupoids [2]. In this paper we deal with AG-bands, i.e., AG-groupoids whose all elements are idempotents. We introduce a few congruence relations on AG-band and consider decompositions of Abel-Grassmann’s bands induced by these congruences. We also give the natural partial order on Abel- Grassmann’s band.P. V. Protic',
N. Stevanovic'
Faculty of Civil Engineering and Architecture,
Beogradska 14 Revised February 26, 2003,
18000 Niš,
Serbia and Montenegro,
E-mail:
E-mail:
N. Stevanovic'
Faculty of Civil Engineering and Architecture,
Beogradska 14 Revised February 26, 2003,
18000 Niš,
Serbia and Montenegro,
E-mail:
E-mail:
Fulltext
– 0.39 Mb
Contents
- SQS-3-Groupoid with q(x,x,y)=x
- Some results on hyper BCK-algebras
- Quasi p-ideals of quasi BCI-algebras
- On groupoids with identity x(xy) = y
- m-systems and n-systems in ordered semigroups
- Fuzzy congruences on groups
- Quotient groups induced by fuzzy subgroups
- Zeroids and idempoids in AG-groupoids
- Characterization of division ľ-LA-semigroups
- A note on Salem numbers and Golden mean
- Abel-Grassmann\'s bands
- Hyper I-algebras and polygroups
- Extensions of Latin subsquares and local embeddability of groups and group algebras
