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On Prime Semilattices

Published online by Cambridge University Press:  20 November 2018

Y. S. Pawar  and
N. K. Thakare
Y. S. Pawar
Affiliation:
Department of Mathematics Shivaji University, Kolhapur-416004, India
N. K. Thakare
Affiliation:
Department of Mathematics and Statistics Marathwada University, Aurangabad-413004, India
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Abstract

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Several characterizations for prime semilattices are obtained. Prime semilattices that are compactly packed by filters have been characterized. Solution to the problem, “Find a condition on a semilattice by which every filter can be expressed as the intersection of all prime filters containing it”, is furnished.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 3 , 01 September 1980 , pp. 291 - 298
Copyright
Copyright © Canadian Mathematical Society 1980

References

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