Properties of non-associative MV-algebras

Rok, strany: 2017, 1095 - 1104

Non-associative MV-algebras (NMV-algebras) $(A, \oplus, \neg, 0)$ were introduced in [CHAJDA, I.---KÜHR, J.: \textit{A non-associative generalization of MV-algebras}, Math. Slovaca \textbf{57} (2007), 301--312]. In the present paper we prove some properties of these algebras, investigate when intervals of the form $[a,1]$ can be made into NMV-algebras in some natural way and consider idempotent elements and derivations of NMV-algebras. Moreover, we study decompositions of NMV-algebras and characterize the congruences on NMV-algebras by means of so-called filters.

ISO 690:

Chajda, I., Länger, H. 2017. Properties of non-associative MV-algebras. In Mathematica Slovaca, vol. 67, no.5, pp. 1095-1104. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0035

APA:

Chajda, I., Länger, H. (2017). Properties of non-associative MV-algebras. Mathematica Slovaca, 67(5), 1095-1104. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0035