Research Commons
      • Browse 
        • Communities & Collections
        • Titles
        • Authors
        • By Issue Date
        • Subjects
        • Types
        • Series
      • Help 
        • About
        • Collection Policy
        • OA Mandate Guidelines
        • Guidelines FAQ
        • Contact Us
      • My Account 
        • Sign In
        • Register
      View Item 
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Joins of subalgebras and normals in 0-regular varieties

      Stokes, Tim E.; McConnell, N. R.
      Thumbnail
      Files
      Algebra-Universalis-paper.pdf
      Published version, 615.3Kb
      DOI
       10.1007/s00012-015-0344-1
      Find in your library  
      Citation
      Export citation
      Stokes, T. E., & McConnell, N. R. (2015). Joins of subalgebras and normals in 0-regular varieties. Algebra Univesalis. http://doi.org/10.1007/s00012-015-0344-1
      Permanent Research Commons link: https://hdl.handle.net/10289/9775
      Abstract
      In any 0-normal variety (0-regular variety in which {0} is a subalgebra), every congruence class containing 0 is a subalgebra. These “normal subalgebras” of a fixed algebra constitute a lattice, isomorphic to its congruence lattice. We are interested in those 0-normal varieties for which the join of two normal subalgebras in the lattice of normal subalgebras of an algebra equals their join in the lattice of subalgebras, as happens with groups and rings. We characterise this property in terms of a Mal’cev condition, and use examples to show it is strictly stronger than being ideal determined but strictly weaker than being 0-coherent (classically ideal determined) and does not imply congruence permutability.
      Date
      2015
      Type
      Journal Article
      Publisher
      Springer Basel
      Rights
      This is an authors accepted version of an article published in the Journal Algebra Universalis.© 2015 Springer. Used with permission.
      Collections
      • Computing and Mathematical Sciences Papers [1454]
      Show full item record  

      Usage

      Downloads, last 12 months
      72
       
       
       

      Usage Statistics

      For this itemFor all of Research Commons

      The University of Waikato - Te Whare Wānanga o WaikatoFeedback and RequestsCopyright and Legal Statement