Table of Contents
Algebra
Volume 2014, Article ID 890312, 7 pages
http://dx.doi.org/10.1155/2014/890312
Research Article

-Prime and -Primary Elements in Multiplicative Lattices

1Department of Mathematics, Shivaji University, Kolhapur 416 004, India
2Department of Mathematics, St. Xavier's College-Autonomous, Mumbai 400 001, India

Received 7 June 2014; Revised 4 September 2014; Accepted 9 September 2014; Published 9 October 2014

Academic Editor: Peter Fleischmann

Copyright © 2014 C. S. Manjarekar and A. V. Bingi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate -prime and -primary elements in a compactly generated multiplicative lattice . By a counterexample, it is shown that a -primary element in need not be primary. Some characterizations of -primary and -prime elements in are obtained. Finally, some results for almost prime and almost primary elements in with characterizations are obtained.