General relations between partially ordered multisets and their chains and antichains

By K. Girish, J. J. Sunil. 2009

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In this paper we begin with the basics of multisets and their operations intro- duced in (5, 22) and dene a multiset relation, an equivalence multiset relation and explore some of their basic properties. We also dene a partially ordered multiset as a multiset relation being reexive, antisymmetric and transitive, chains and antichains of a partially ordered multiset, and extend Dilworth's Theorems for partially ordered sets in the context of partially ordered multisets. AMS subject classications : 00A05, 03E70, 03E99, 06A99

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