Positive Implicative Ideals in QI-Algebras
In this article, we design several QI-algebra constructions for a given QI-algebra, and then besides proving several additional properties of ideals in (right distributive) QI-algebras, we introduce the concept of positive implicative ideals in QI-algebras and prove some of its important properties....
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| Format: | Article |
| Language: | English |
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Mathyze Publishers
2025-04-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/253 |
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| _version_ | 1849433476192796672 |
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| author | Daniel Abraham Romano |
| author_facet | Daniel Abraham Romano |
| author_sort | Daniel Abraham Romano |
| collection | DOAJ |
| description | In this article, we design several QI-algebra constructions for a given QI-algebra, and then besides proving several additional properties of ideals in (right distributive) QI-algebras, we introduce the concept of positive implicative ideals in QI-algebras and prove some of its important properties. Also, it was shown that every ideal in a right distributive QI-algebra is a positive implicative ideal in it. |
| format | Article |
| id | doaj-art-2587d191431e45c7978008bf65ffbbf1 |
| institution | Kabale University |
| issn | 2832-4293 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj-art-2587d191431e45c7978008bf65ffbbf12025-08-20T03:27:01ZengMathyze PublishersPan-American Journal of Mathematics2832-42932025-04-014010.28919/cpr-pajm/4-869Positive Implicative Ideals in QI-AlgebrasDaniel Abraham Romano0International Mathematical Virtual Institute Kordunaska street 6, 78000 Banja Luka Bosnia and HerzegovinaIn this article, we design several QI-algebra constructions for a given QI-algebra, and then besides proving several additional properties of ideals in (right distributive) QI-algebras, we introduce the concept of positive implicative ideals in QI-algebras and prove some of its important properties. Also, it was shown that every ideal in a right distributive QI-algebra is a positive implicative ideal in it.https://mathyze.com/index.php/pajm/article/view/253 |
| spellingShingle | Daniel Abraham Romano Positive Implicative Ideals in QI-Algebras Pan-American Journal of Mathematics |
| title | Positive Implicative Ideals in QI-Algebras |
| title_full | Positive Implicative Ideals in QI-Algebras |
| title_fullStr | Positive Implicative Ideals in QI-Algebras |
| title_full_unstemmed | Positive Implicative Ideals in QI-Algebras |
| title_short | Positive Implicative Ideals in QI-Algebras |
| title_sort | positive implicative ideals in qi algebras |
| url | https://mathyze.com/index.php/pajm/article/view/253 |
| work_keys_str_mv | AT danielabrahamromano positiveimplicativeidealsinqialgebras |