Geodesic
On Radicals of Green’s Relations in Ordered Semigroups
Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 246-252

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DOI

In this paper, we give a new definition of radicals of Green’s relations in an ordered semigroup and characterize left regular (right regular), intra regular ordered semigroups by radicals of Green’s relations. We also characterize the ordered semigroups that are unions and complete semilattices of $\text{t}$ -simple ordered semigroups.
DOI : 10.4153/CMB-2016-093-7
Mots-clés : 06F05, radical of Green’s relation, intra regular ordered semigroup, left regular, t-simple ordered semigroup 
Bhuniya, Anjan Kumar; Hansda, Kalyan. On Radicals of Green’s Relations in Ordered Semigroups. Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 246-252. doi: 10.4153/CMB-2016-093-7
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     author = {Bhuniya, Anjan Kumar and Hansda, Kalyan},
     title = {On {Radicals} of {Green{\textquoteright}s} {Relations} in {Ordered} {Semigroups}},
     journal = {Canadian mathematical bulletin},
     pages = {246--252},
     year = {2017},
     volume = {60},
     number = {2},
     doi = {10.4153/CMB-2016-093-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-093-7/}
}
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