05519752

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05519752 Qin, Feng Maximal filters in $R_0$-algebras. J. Fuzzy Math. 16, No. 4, 777-785 (2008). 2008 International Fuzzy Mathematics Institute, El Monte, CA EN Summary: In this paper, we prove that a filter $D$ in an $R_0$-algebra $M$ is maximal iff $M/D$ is locally finite. In particular, if $M$ is at most countable, then $D$ is maximal iff $M/D\cong W_3$ or $M/D\cong \{0,1\}$, where $\{0,1\}$ is the Boolean algebra.