EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 45(59), pp. 27--31 (1989)

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LARGE SUBALGEBRAS OF A BOOLEAN ALGEBRA

Slobodan Vujosevi\'c

Prirodno-matematicki fakultet, Podgorica, Yugoslavia

Abstract: A subalgebra {\bf A} of a Boolean algebra {\bf B} is {\it large} (in {\bf B}) if there exists a $b\in B$ such that the algebra generated by the set $A\cup \{b\}$ is the whole algebra {\bf B}. In this paper we give a complete description of large subalgebras of a Boolean algebra.

Classification (MSC2000): 06E05

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