Jónsson posets and unary Jónsson algebras
Algebra Universalis, ISSN: 0002-5240, Vol: 69, Issue: 2, Page: 101-112
2013
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Article Description
We show that if P is an infinite poset whose proper order ideals have cardinality strictly less than {pipe}P{pipe} and κ is a cardinal number strictly less than {pipe}P{pipe}, then P has a principal order ideal of cardinality at least κ. We apply this result to characterize the possible sizes of unary Jónsson algebras. © 2013 Springer Basel.
Bibliographic Details
Springer Science and Business Media LLC
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