Article in volume
Authors:
Title:
On $B^{*}$-pure ordered semigroup
PDFSource:
Discussiones Mathematicae - General Algebra and Applications 44(1) (2024) 101-109
Received: 2022-06-23 , Revised: 2022-10-18 , Accepted: 2022-10-26 , Available online: 2024-02-08 , https://doi.org/10.7151/dmgaa.1449
Abstract:
We introduce the concept of $B^{*}$-pure ordered semigroup, and give some properties of $B^{*}$-pure ordered semigroups.
Keywords:
semigroup, ordered semigroup, $B$-pure, normal, weakly commutative, archimedean, semilattice, bi-ideal
References:
- K. Hansda, Idempotent ordered semigroups (2017).
arXiv: 1706.08213v1 - L. Fuchs, Partially ordered Algebraic Systems (Oxford-London-New York-Paris; Addison-Wesley Publishing Co., Inc, Reading, Mass.-Palo Alto, Calif.-London Pergamon Press, 1963).
- N. Kuroki, On $B^{*}$-pure semigroups, Acta Math. Hung. 43 (1984) 295–298.
- N. Kehayopulu, M. Tsingelis, On weakly commutative ordered semigroups, Semigroup Forum 56 (1998) 32–35.
https://doi.org/10.1007/s00233-002-7002-6 - N. Kehayopulu, On completely regular poe-semigroups, Math. Japonica 37 (1992) 123–130.
- N. Kehayopulu, On weakly commutative poe-semigroups, Semigroup Forum 34 (1987) 367–370.
https://doi.org/10.1007/BF02573174 - N. Kehayopulu, On regular duo ordered semigroups, Math. Japonica 37 (1992) 535–540.
- T. Changphas, An Introduction to Ordered Semigroups (Lecture Note, 2016).
- T. Changphas, P. Kummoon, Purity of ideals and generalized ideals on ordered semigroups, Quasigroups and Related systems 26 (2018) 185–196.
- T. Changphas, P. Luangchaisri and R. Mazurek, On right chain ordered semigroups, Semigroup Forum 96 (2018) 523–535.
https://doi.org/10.1007/s00233-017-9896-z
Close