On regular duo po-$Γ$-semigroups

In: Mathematica Slovaca, vol. 61, no. 6

Niovi Kehayopulu

Detaily:

Rok, strany: 2011, 871 - 884

Kľúčové slová:

$\Gamma$-semigroup, po-$\Gamma$-semigroup, right (left) ideal, right (left) duo, duo, right (left) regular, regular, intra-regular, semiprime subset

DOI: https://doi.org/10.2478/s12175-011-0054-x

O článku:

There are two definitions of $Γ$-semigroups and investigations for both of them in the bibliography. The definition given by Sen in 1981, and the definition given by Sen and Saha in 1986. In this paper we show the way we pass from ordered semigroups to ordered $Γ$-semigroups no matter which one of the two definitions we use. Moreover we show that, exactly as in ordered semigroups, in many results of ordered $Γ$-semigroups points do not play any essential role, but the sets, which shows their pointless character. Under the methodology using in this paper, all the results of ordered semigroups can be transferred into ordered $Γ$-semigroups.

Ako citovať:

ISO 690:

Kehayopulu, N. 2011. On regular duo po-$Γ$-semigroups. In Mathematica Slovaca, vol. 61, no.6, pp. 871-884. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0054-x

APA:

Kehayopulu, N. (2011). On regular duo po-$Γ$-semigroups. Mathematica Slovaca, 61(6), 871-884. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0054-x

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