In [1] the authors proved that a semiring S is a completely simple semiring if and only if S is isomorphic to a Rees matrix semiring over a skew-ring R with sandwich matrix P and index sets I and Λ which are bands under multiplication. In this paper we characterize all the balanced order relations on completely simple semirings. Also we study the normal hull of a completely simple semiring.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1218,
author = {Sunil K. Maity},
title = {On balanced order relations and the normal hull of completely simple semirings},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {34},
year = {2014},
pages = {75-84},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1218}
}
Sunil K. Maity. On balanced order relations and the normal hull of completely simple semirings. Discussiones Mathematicae - General Algebra and Applications, Tome 34 (2014) pp. 75-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1218/
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