CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Coaxer Lattices

  Published:2017-02-28
 Printed: Jun 2017
  • M. Sambasiva Rao,
    Department of Mathematics, MVGR College of Engineering, Chintalavalasa, Vizianagaram, Andhra Pradesh, India-535005
Format:   LaTeX   MathJax   PDF  

Abstract

The notion of coaxers is introduced in a pseudo-complemented distributive lattice. Boolean algebras are characterized in terms of coaxer ideals and congruences. The concept of coaxer lattices is introduced in pseudo-complemented distributive lattices and characterized in terms of coaxer ideals and maximal ideals. Finally, the coaxer lattices are also characterized in topological terms.
Keywords: pseudo-complemented distributive lattice, coaxer ideal, coaxer lattice, maximal ideal, congruence, kernel, antikernel pseudo-complemented distributive lattice, coaxer ideal, coaxer lattice, maximal ideal, congruence, kernel, antikernel
MSC Classifications: 06D99 show english descriptions None of the above, but in this section 06D99 - None of the above, but in this section
 

© Canadian Mathematical Society, 2017 : https://cms.math.ca/