Skip to main content Accessibility help
×
  1. Home
  2. Browse subjects
  3. Mathematics
  4. MSC Classifications
  5. MSC 2010: Order, Lattices, Ordered Algebraic Structures
  6. 06Exx

Refine listing

Refine listing

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

42 results in 06Exx

Page 3 of 3

  • Almost distributive lattices

  • Part of
  • U. Maddana Swamy, G. C. Rao
  • Journal:
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 31 / Issue 1 / June 1981
    Published online by Cambridge University Press:
    09 April 2009, pp. 77-91
    Print publication:
    June 1981
    • Article
      • You have access
    • PDF
    • Export citation

  • The concept of ‘Almost Distributive Lattices’ (ADL) is introduced. This class of ADLs includes almost all the existing ring theoretic generalisations of a Boolean ring (algebra) like regular rings, P-rings, biregular rings, associate rings, P1-rings, triple systems, etc. This class also includes the class of Baer-Stone semigroups. A one-to-one correspondence is exhibited between the class of relatively complemented ADLs and the class of Almost Boolean Rings analogous to the well-known Stone's correspondence. Many concepts in distributive lattices can be extended to the class of ADLs through its principal ideals which from a distributive lattice with 0. Subdirect and Sheaf representations of an ADL are obtained.

  • Prime ideal characterization of chain based lattices

  • Part of
  • U. Maddna Swamy, G. C. Rao, P. Manikyamba
  • Journal:
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 30 / Issue 1 / September 1980
    Published online by Cambridge University Press:
    09 April 2009, pp. 98-106
    Print publication:
    September 1980
    • Article
      • You have access
    • PDF
    • Export citation

  • Epstein and Horn, in their paper ‘Chain based lattices’, characterized P1-lattices, and P2-lattices in terms of their prime ideals. But no such prime ideal characterization for P0-lattices was given. Our main aim in this paper is to characterize P0-lattices in terms of their prime ideals. We also give a necessary and sufficient condition for a P-algebra to be a P0-lattice (and hence a P2-lattice).

Page 3 of 3