Remark on quasi-ideals of ordered semigroups

Niovi Kehayopulu

Open Access

Remark on quasi-ideals of ordered semigroups

Niovi Kehayopulu

| Jun 24, 2016

Pure Mathematics and Applications

Volume 25 (2015): Issue 2 (December 2015)

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Page range: 144 - 150

Received: Jul 25, 2014

DOI: https://doi.org/10.1515/puma-2015-0014

Keywords
ordered semigroup, quasi-ideal, bi-ideal, left (right) ideal, le-semigroup, quasi-ideal element, bi-ideal element, left (right) ideal element, intra-regular

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The aim is to correct part of the Remark 3 of my paper “On regular, intra-regular ordered semigroups” in Pure Math. Appl. (PU.M.A.) 4, no. 4 (1993), 447-461. On this occasion, some further results and the similarity between the po-semigroups and the le-semigroups are discussed.

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Remark on quasi-ideals of ordered semigroups

Published Online: Jun 24, 2016

Page range: 144 - 150

Received: Jul 25, 2014

DOI: https://doi.org/10.1515/puma-2015-0014

Keywordsordered semigroup, quasi-ideal, bi-ideal, left (right) ideal, le-semigroup, quasi-ideal element, bi-ideal element, left (right) ideal element, intra-regular

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
ordered semigroup, quasi-ideal, bi-ideal, left (right) ideal, le-semigroup, quasi-ideal element, bi-ideal element, left (right) ideal element, intra-regular