Weak MV-algebras

Year, pages: 2008, 253 - 262

In a recent paper [CHAJDA, I.—KÜHR, J.: \textit{A non-associative generalization of MV-algebras}, Math. Slovaca \textbf{57}, (2007), 301–312], authors introduced and studied a non-associative generalization of MV-algebras called NMV-algebras. In contrast to MV-algebras, sections (i.e. principal filters) in NMV-algebras which are proper (i.e. are not MV-algebras), do not admit a structure of an NMV-algebra with respect to the operations defined in a natural way. The aim of the paper is to present a new class of algebras generalizing MV-algebras but sharing the above property.

Halaš, R., Plojhar, L. 2008. Weak MV-algebras. In Mathematica Slovaca, vol. 58, no.3, pp. 253-262. 0139-9918.

Halaš, R., Plojhar, L. (2008). Weak MV-algebras. Mathematica Slovaca, 58(3), 253-262. 0139-9918.