Partition and modulated lattices
نویسندگان
چکیده
منابع مشابه
Partition Representations of Free Lattices
I. Introduction. If 5 is a set, we will denote by G>(S) the lattice of all partitions (equivalence relations) of S. Whitman [6] proved that any lattice L is isomorphic to a sublattice of (P(S) for some 5. His proof shows that, if L is infinite, we can take 5 to be no larger than L; for finite L, however, his proof only shows that 5 can be taken count-able. This leaves open the following (still ...
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The permutation representation theory of groups has been extended, through quasigroups, to one-sided left (or right) quasigroups. The current paper establishes a link with the theory of ordered sets, introducing the concept of a Burnside order that generalizes the poset of conjugacy classes of subgroups of a finite group. Use of the Burnside order leads to a simplification in the proof of key p...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1961
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1961.11.325