The Journal of the Indian Mathematical Society

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N-Normal Join-Semilattices


Affiliations
1 Department of Mathematics, Dr. B.A.M. University, Aurangabad-431 004, India
     

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A join-semilattice with 0 is called n-normal if every prime ideal contains at most n-minimal prime ideals. In this paper, we obtain some properties and characterizations of n-normal distributive join-semilattices with 0.

Keywords

n-Normal Distributive Join-Semilattice, Prime Ideals, Minimal Prime Ideals, Sectionally n-Normal Semilattice.
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  • N-Normal Join-Semilattices

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Authors

S. K. Nimbhorkar
Department of Mathematics, Dr. B.A.M. University, Aurangabad-431 004, India
M. P. Wasadikar
Department of Mathematics, Dr. B.A.M. University, Aurangabad-431 004, India

Abstract


A join-semilattice with 0 is called n-normal if every prime ideal contains at most n-minimal prime ideals. In this paper, we obtain some properties and characterizations of n-normal distributive join-semilattices with 0.

Keywords


n-Normal Distributive Join-Semilattice, Prime Ideals, Minimal Prime Ideals, Sectionally n-Normal Semilattice.