In: Mathematica Slovaca, vol. 67, no. 2
Lavinia Corina Ciungu
Detaily:
Rok, strany: 2017, 271 - 284
Kľúčové slová:
pseudo-hoop, idempotent pseudo-hoop, relative good pseudo-hoop, relative Glivenko property, (SO) property, state operator, state pseudo-hoop, Bosbach state, Riečan state
O článku:
Recently, the bounded pseudo-hoops with internal states have been defined and studied.Some of results are based on the hypothesis that a bounded pseudo-hoop has the Glivenko and (mN) properties. In this paper we show that this hypothesis is super uous, namely every good pseudo-hoop satisfies the Glivenko and (mN) properties and those results are reformulated without that hypothesis. The pointed pseudo-hoops are introduced and studied and the notion of state operator has been generalized for the case of unbounded pseudo-hoops. We define the Bosbach and Riečan states on pointed pseudo-hoops and we make some considerations regarding the relationship between the state operators and states on these structures.
Ako citovať:
ISO 690:
Ciungu, L. 2017. On state pseudo-hoops. In Mathematica Slovaca, vol. 67, no.2, pp. 271-284. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0200
APA:
Ciungu, L. (2017). On state pseudo-hoops. Mathematica Slovaca, 67(2), 271-284. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0200
O vydaní:
Publikované: 25. 4. 2017