MATHEMATICA BOHEMICA, Vol. 123, No. 2, pp. 145-161 (1998)

Atomicity of the Boolean algebra of direct factors of a directed set

Jan Jakubik

Jan Jakubik, Matematicky ustav SAV, Gresakova 6, 040 01 Kosice, Slovakia, e-mail: musavke@linux1.saske.sk

Abstract: In the present paper we deal with the relations between direct product decompositions of a directed set $L$ and direct product decompositions of intervals of $L$.

Keywords: directed set, direct product decomposition, atomicity

Classification (MSC2000): 06A06

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