On $B^{\ast}$-pure ordered semigroup
Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 1, pp. 101-109.

Voir la notice de l'article provenant de la source Library of Science

We introduce the concept of B^∗-pure ordered semigroup, and give some properties of B^∗-pure ordered semigroups.
Keywords: semigroup, ordered semigroup, normal, weakly commutative, archimedean, semilattice, bi-ideal, $B^{\ast}$-pure
@article{DMGAA_2024_44_1_a6,
     author = {Summaprab, Pisan},
     title = {On $B^{\ast}$-pure ordered semigroup},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {101--109},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2024_44_1_a6/}
}
TY  - JOUR
AU  - Summaprab, Pisan
TI  - On $B^{\ast}$-pure ordered semigroup
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2024
SP  - 101
EP  - 109
VL  - 44
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2024_44_1_a6/
LA  - en
ID  - DMGAA_2024_44_1_a6
ER  - 
%0 Journal Article
%A Summaprab, Pisan
%T On $B^{\ast}$-pure ordered semigroup
%J Discussiones Mathematicae. General Algebra and Applications
%D 2024
%P 101-109
%V 44
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2024_44_1_a6/
%G en
%F DMGAA_2024_44_1_a6
Summaprab, Pisan. On $B^{\ast}$-pure ordered semigroup. Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 1, pp. 101-109. http://geodesic.mathdoc.fr/item/DMGAA_2024_44_1_a6/

[1] K. Hansda, Idempotent ordered semigroups (2017). arXiv: 1706.08213v1

[2] 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).

[3] N. Kuroki, On B*-pure semigroups, Acta Math. Hung. 43 (1984) 295–298.

[4] N. Kehayopulu, M. Tsingelis, On weakly commutative ordered semigroups, Semigroup Forum 56 (1998) 32–35. https://doi.org/10.1007/s00233-002-7002-6

[5] N. Kehayopulu, On completely regular poe-semigroups, Math. Japonica 37 (1992) 123–130.

[6] N. Kehayopulu, On weakly commutative poe-semigroups, Semigroup Forum 34 (1987) 367–370. https://doi.org/10.1007/BF02573174

[7] N. Kehayopulu, On regular duo ordered semigroups, Math. Japonica 37 (1992) 535–540.

[8] T. Changphas, An Introduction to Ordered Semigroups (Lecture Note, 2016).

[9] T. Changphas, P. Kummoon, Purity of ideals and generalized ideals on ordered semigroups, Quasigroups and Related systems 26 (2018) 185–196.

[10] 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