Some Results about Weak UP-algebras

Muhammad Anwar Chaudhry, Asfand Fahad, Muhammad Imran Qureshi, Urwa Riasat and Musavarah Sarwar

Journal of Mathematics, 2022, vol. 2022, 1-6

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1206804

DOI: 10.1155/2022/1206804

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