Maximal sublattices and Frattini sublattices of bounded lattices
نویسندگان
چکیده
منابع مشابه
Maximal Sublattices and Frattini Sublattices of Bounded Lattices
We will address these questions in order, and provide good partial answers, especially for nite lattices which are bounded homomorphic images of a free lattice. Recall that a nite lattice is bounded if and only if it can be obtained from the one element lattice by a sequence of applications of Alan Day's doubling construction for intervals. In particular, nite distributive lattices are bounded....
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Algebraic properties of lattices of quotients of nite posets are considered. Using the known duality between the category of all nite posets together with all order-preserving maps and the category of all nite distributive (0; 1)-lattices together with all (0; 1)-lattice ho-momorphisms, algebraic and arithmetic properties of maximal proper sublattices and, in particular, Frattini sublattices of...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1997
ISSN: 0263-6115
DOI: 10.1017/s1446788700000355