Article in press
Authors:
Title:
$\pi$-inverse ordered semigroups
PDFSource:
Discussiones Mathematicae - General Algebra and Applications
Received: 2020-07-02 , Revised: 2022-08-26 , Accepted: 2022-08-26 , Available online: 2023-07-12 , https://doi.org/10.7151/dmgaa.1430
Abstract:
This article deals with the generalization of $\pi$-inverse semigroups without
order to ordered semigroups. Here we characterize $\pi$-inverse ordered
semigroups by their ordered idempotents and bi-ideals.
Keywords:
bi-ideals, ordered idempotent, $\pi$-regular, $\pi$-inverse, inverse
References:
- A.K. Bhuniya and K. Hansda, On completely regular and Clifford ordered semigroups, Afrika Mat. 31 (2020) 1029–1045.
https://doi.org/10.1007/s13370-020-00778-1 - G. Birkhoff, Lattice Theory (Providence, 1969).
- Y. Cao and X. Xinzhai, Nil-extensions of simple po-semigroups, Comm. Algebra 28(5) (2000) 2477–2496.
- K. Hansda, Bi-ideals in Clifford ordered semigroup, Discuss. Math. General Alg. Appl. 33 (2013) 73–84.
- K. Hansda and A. Jamadar, Characterization of inverse ordered semigroups by their ordered idempotents and bi-ideals, Quasigroups and Related Systems 28 (2020) 77–88.
- N. Kehayopulu, Remark in ordered semigroups, Math. Japonica 35 (1990) 1061–1063.
- N. Kehayopulu and M. Tsingelis, On left regular ordered semigroups, South. Asian Bull. Math. 25 (2002) 609–615.
- N. Kehayopulu, Ideals and Green's relations in ordered semigroups, Int. J. Math. and Math. Sci. 2006 (1–8) Article ID 61286.
- N. Kehayopulu, On completely regular poe-semigroups, Math. Japonica 37 (1992) 123–130.
Close