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Some Results about Weak UP-algebras

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  • Muhammad Anwar Chaudhry
  • Asfand Fahad
  • Muhammad Imran Qureshi
  • Urwa Riasat
  • Musavarah Sarwar

Abstract

We introduce a new class of algebras, weak UP-algebras, briefly written as WUP-algebras, as a wider class than the classes of UP-algebras and KU-algebras. We investigate fundamental aspects including maximal elements, branches and the subalgebra consisting of maximal elements of a WUP-algebra. We also study regular congruences on a WUP-algebra as well as the corresponding quotient WUP-algebras. We prove that the congruence generated from the branches of a WUP-algebra is regular and the corresponding quotient algebra χ/q is isomorphic to the WUP-algebra Maxχ, the subalgebra of χ consisting of its maximal elements.

Suggested Citation

  • Muhammad Anwar Chaudhry & Asfand Fahad & Muhammad Imran Qureshi & Urwa Riasat & Musavarah Sarwar, 2022. "Some Results about Weak UP-algebras," Journal of Mathematics, Hindawi, vol. 2022, pages 1-6, September.
    • Handle: RePEc:hin:jjmath:1206804
    DOI: 10.1155/2022/1206804
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