Some Results about Weak UP-algebras
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 al...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1206804 |
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| _version_ | 1849685761485438976 |
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| author | Muhammad Anwar Chaudhry Asfand Fahad Muhammad Imran Qureshi Urwa Riasat |
| author_facet | Muhammad Anwar Chaudhry Asfand Fahad Muhammad Imran Qureshi Urwa Riasat |
| author_sort | Muhammad Anwar Chaudhry |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-bee0eb8b40284f32a4e1ff6004d19a3c |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-bee0eb8b40284f32a4e1ff6004d19a3c2025-08-20T03:22:59ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1206804Some Results about Weak UP-algebrasMuhammad Anwar Chaudhry0Asfand Fahad1Muhammad Imran Qureshi2Urwa Riasat3Department of Mathematics and StatisticsCentre for Advanced Studies in Pure and Applied MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsWe 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.http://dx.doi.org/10.1155/2022/1206804 |
| spellingShingle | Muhammad Anwar Chaudhry Asfand Fahad Muhammad Imran Qureshi Urwa Riasat Some Results about Weak UP-algebras Journal of Mathematics |
| title | Some Results about Weak UP-algebras |
| title_full | Some Results about Weak UP-algebras |
| title_fullStr | Some Results about Weak UP-algebras |
| title_full_unstemmed | Some Results about Weak UP-algebras |
| title_short | Some Results about Weak UP-algebras |
| title_sort | some results about weak up algebras |
| url | http://dx.doi.org/10.1155/2022/1206804 |
| work_keys_str_mv | AT muhammadanwarchaudhry someresultsaboutweakupalgebras AT asfandfahad someresultsaboutweakupalgebras AT muhammadimranqureshi someresultsaboutweakupalgebras AT urwariasat someresultsaboutweakupalgebras |