Hostname: page-component-6d856f89d9-vrt8f Total loading time: 0 Render date: 2024-07-16T05:19:24.266Z Has data issue: false hasContentIssue false
  • English
  • Français

O-Distributive Semilattices

Published online by Cambridge University Press:  20 November 2018

Y. S. Pawar  and
And N. K. Thakare
Y. S. Pawar
Affiliation:
Department of Mathematics, Shivaji University, Kolhapur-416004, India
And N. K. Thakare
Affiliation:
Department of Mathematics and Statistics, Marathwada University, Aurangabad - 431004, India
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Sufficient conditions for a semilattice to be a 0- distributive are obtained. Some equivalent formulations of 0- distributivity in a semilattice are given. Further, disjunctive 0- distributive semilattices are also characterized.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 4 , 01 December 1978 , pp. 469 - 475
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Adams, D., Prime and maximal ideals in lattices, Publicationes Mathematicae 17, (1970), 57-59.Google Scholar
2. Balbes, R., A representation theory for prime and implicative semilattices, Trans. Amer. Math. Soc. 136, (1969), 261-267.Google Scholar
3. Hofrman-Keimel, , A general character theory for partially ordered sets and lattices, Mem. Amer. Math. Soc. 122, (1972).Google Scholar
4. Varlet, J. C., A generalization of the notion of pseudocomplementedness, Bull. Soc. Roy. Liège, 36, (1968), 149-158.Google Scholar
5. Varlet, J. C., Distributive semilattices and Boolean Lattices, Bull. Soc. Roy. Liège, 41, (1972), 5-10.Google Scholar
6. Venkatanarasimhan, P. V., Stone's topology for pseudocomplemented and bi-complemented lattices, Trans. Amer. Math. Soc. 170, (1972), 57-70.Google Scholar