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Jakubík, Ján
Atomicity of the Boolean algebra of direct factors of a directed set. (English). Mathematica Bohemica, vol. 123 (1998), issue 2, pp. 145-161
MSC: 06A06, 06E05 | MR 1673985 | Zbl 0938.06011 | DOI: 10.21136/MB.1998.126304
Keywords:
Boolean algebras; structure theory; directed set; direct product decomposition; atomicity
Summary:
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 $L$.
References:
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[5] J. Jakubík M. Csontóová: Convex isomorphisms of directed multilattices. Math. Bohem. 118 (1993), 359-379. MR 1251882
[6] L. Libkin: Direct decompositions of atomistic algebraic lattices. Algebra Univ. 33 (1995), 127-135. DOI 10.1007/BF01190769 | MR 1303635 | Zbl 0818.06004
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