Factor = quotient, uncountable Boolean algebras, number of endomorphism and width

dc.creatorShelah, Saharon
dc.date1992-01-15
dc.date.accessioned2026-07-07T09:14:43Z
dc.date.available2026-07-07T09:14:43Z
dc.descriptionWe prove that assuming suitable cardinal arithmetic, if B is a Boolean algebra every homomorphic image of which is isomorphic to a factor, then B has locally small density. We also prove that for an (infinite) Boolean algebra B, the number of subalgebras is not smaller than the number of endomorphisms, and other related inequalities. Lastly we deal with the obtainment of the supremum of the cardinalities of sets of pairwise incomparable elements of a Boolean algebra.
dc.identifierhttps://arxiv.org/abs/math/9201250
dc.identifierhttp://arxiv.org/abs/math/9201250
dc.identifierMath. Japon. 37 (1992), 385--400
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152771
dc.subjectLogic
dc.subjectGeneral Topology
dc.titleFactor = quotient, uncountable Boolean algebras, number of endomorphism and width
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