The Journal of the Indian Mathematical Society

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Extensions of Partially Ordered Sets-I:General Theory


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1 Presidency College, Madras, India
     

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The partially oredered set

DEF. An abstract set, L, is a partially ordered set, (or orderedset), if there is an associated binary relation " < ", (read "less than"), connecting some pairs of elements of L, which is further reflexive and transitive [that is : a < a for all a of L; and a < b, b < c imply a < c for all a, b, c from L].


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  • Extensions of Partially Ordered Sets-I:General Theory

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Authors

V. S. Krishnan
Presidency College, Madras, India

Abstract


The partially oredered set

DEF. An abstract set, L, is a partially ordered set, (or orderedset), if there is an associated binary relation " < ", (read "less than"), connecting some pairs of elements of L, which is further reflexive and transitive [that is : a < a for all a of L; and a < b, b < c imply a < c for all a, b, c from L].