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Ordered left PP monoids

In: Mathematica Slovaca, vol. 64, no. 6
Xiaoping Shi
Detaily:
Rok, strany: 2014, 1357 - 1368
Kľúčové slová:
ordered left $PP$ monoid, ordered $C$-$lpp$ monoids, $S$-poset
O článku:
An ordered monoid $S$ in which every principal left ideal, regarded as an $S$-poset, is projective is called an ordered left $PP$ monoid, for short, an ordered $lpp$ monoid. In this paper, we introduce a new kind of ordered relations instead of Green relations adopted by J. B. Fountain, ordered $lpp$ monoids are described by these ordered relations. Some similar results of c-rpp semigroups are duduced and proved, in particular, Fountain's results about $C$-$lpp$ monoids are generalized to ordered monoids.
Ako citovať:
ISO 690:
Shi, X. 2014. Ordered left PP monoids. In Mathematica Slovaca, vol. 64, no.6, pp. 1357-1368. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0279-6

APA:
Shi, X. (2014). Ordered left PP monoids. Mathematica Slovaca, 64(6), 1357-1368. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0279-6
O vydaní: