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On interval subalgebras of generalized $MV$-algebras

In: Mathematica Slovaca, vol. 56, no. 4
Ján Jakubík

Details:

Year, pages: 2006, 387 - 395
About article:
Let $A$ be a generalized $MV$-algebra with the underlying set $A$. Under the well-known notation, there exists a unital lattice ordered group $(G,u)$ such that $A=Γ(G,u)$. By applying the fundamental operations of $A$ we can define a partial order $\leqq$ on $A$. Let $a,b\in A$, $a\leqq b$ and let $A1=[a,b]$ be the interval of $(A;\leqq)$. In this paper we prove that there exists a generalized $MV$-algebra $A1$ with the underlying set $A1$ such that the fundamental operations of $A1$ are induced by certain polynomial functions over $G$.
How to cite:
ISO 690:
Jakubík, J. 2006. On interval subalgebras of generalized $MV$-algebras. In Mathematica Slovaca, vol. 56, no.4, pp. 387-395. 0139-9918.

APA:
Jakubík, J. (2006). On interval subalgebras of generalized $MV$-algebras. Mathematica Slovaca, 56(4), 387-395. 0139-9918.