Pseudo Quasi-Ordered Residuated Systems, An Introduction
The concept of quasi-ordered residuated systems was introduced in 2018 by S. Bonzio and I. Chajda as a generalization of both hoop-algebras and commutative residuated lattices ordered by quasi-orders. The substructures of ideals and filters in such algebraic structures were considered by the author....
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| Format: | Article |
| Language: | English |
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Mathyze Publishers
2022-08-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/26 |
| _version_ | 1797388621700923392 |
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| author | Daniel A. Romano |
| author_facet | Daniel A. Romano |
| author_sort | Daniel A. Romano |
| collection | DOAJ |
| description | The concept of quasi-ordered residuated systems was introduced in 2018 by S. Bonzio and I. Chajda as a generalization of both hoop-algebras and commutative residuated lattices ordered by quasi-orders. The substructures of ideals and filters in such algebraic structures were considered by the author. This paper introduces and analyzes the concept of pseudo quasi-ordered residuated systems as a non-commutative generalization of quasi-ordered residuated systems with left and right residuum operations. Also, this paper discusses the concepts of ideals and filters in pseudo quasi-ordered residuated systems. |
| first_indexed | 2024-03-08T22:43:26Z |
| format | Article |
| id | doaj.art-948a44c099da45d09398bd51252aa475 |
| institution | Directory Open Access Journal |
| issn | 2832-4293 |
| language | English |
| last_indexed | 2024-03-08T22:43:26Z |
| publishDate | 2022-08-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj.art-948a44c099da45d09398bd51252aa4752023-12-17T09:16:13ZengMathyze PublishersPan-American Journal of Mathematics2832-42932022-08-011010.28919/cpr-pajm/1-1211Pseudo Quasi-Ordered Residuated Systems, An IntroductionDaniel A. Romano0International Mathematical Virtual Institute Kordunaska street 6, 78000 Banja Luka Bosnia and HerzegovinaThe concept of quasi-ordered residuated systems was introduced in 2018 by S. Bonzio and I. Chajda as a generalization of both hoop-algebras and commutative residuated lattices ordered by quasi-orders. The substructures of ideals and filters in such algebraic structures were considered by the author. This paper introduces and analyzes the concept of pseudo quasi-ordered residuated systems as a non-commutative generalization of quasi-ordered residuated systems with left and right residuum operations. Also, this paper discusses the concepts of ideals and filters in pseudo quasi-ordered residuated systems.https://mathyze.com/index.php/pajm/article/view/26 |
| spellingShingle | Daniel A. Romano Pseudo Quasi-Ordered Residuated Systems, An Introduction Pan-American Journal of Mathematics |
| title | Pseudo Quasi-Ordered Residuated Systems, An Introduction |
| title_full | Pseudo Quasi-Ordered Residuated Systems, An Introduction |
| title_fullStr | Pseudo Quasi-Ordered Residuated Systems, An Introduction |
| title_full_unstemmed | Pseudo Quasi-Ordered Residuated Systems, An Introduction |
| title_short | Pseudo Quasi-Ordered Residuated Systems, An Introduction |
| title_sort | pseudo quasi ordered residuated systems an introduction |
| url | https://mathyze.com/index.php/pajm/article/view/26 |
| work_keys_str_mv | AT danielaromano pseudoquasiorderedresiduatedsystemsanintroduction |