Constructive counterparts of some interior ideals in a co-quasiordered semigroup
In this paper, as a further generalization of co-ideals in semigroup with apartness ordered under a co-quasiorder relation, we introduce the notions of interior co-ideals, quasi-interior co-ideals and weak-interior co-ideals. Additionally, we study the properties of these co-ideals of co-quasiordere...
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| Format: | Article |
| Language: | English |
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Research Group on Mathematical Applications and Modelling (RGMAM)
2023-08-01
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| Series: | European Journal of Mathematics and Applications |
| Online Access: | http://ejma.euap.org/articles/537 |
| _version_ | 1797388610921562112 |
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| author | Daniel A. Romano |
| author_facet | Daniel A. Romano |
| author_sort | Daniel A. Romano |
| collection | DOAJ |
| description | In this paper, as a further generalization of co-ideals in semigroup with apartness ordered under a co-quasiorder relation, we introduce the notions of interior co-ideals, quasi-interior co-ideals and weak-interior co-ideals. Additionally, we study the properties of these co-ideals of co-quasiordered semigroup with apartness and their interrelationships. |
| first_indexed | 2024-03-08T22:43:16Z |
| format | Article |
| id | doaj.art-692e8f7312134034b0787fd05714e8b6 |
| institution | Directory Open Access Journal |
| issn | 2752-7603 |
| language | English |
| last_indexed | 2024-03-08T22:43:16Z |
| publishDate | 2023-08-01 |
| publisher | Research Group on Mathematical Applications and Modelling (RGMAM) |
| record_format | Article |
| series | European Journal of Mathematics and Applications |
| spelling | doaj.art-692e8f7312134034b0787fd05714e8b62023-12-17T08:43:55ZengResearch Group on Mathematical Applications and Modelling (RGMAM)European Journal of Mathematics and Applications2752-76032023-08-01312Constructive counterparts of some interior ideals in a co-quasiordered semigroupDaniel A. RomanoIn this paper, as a further generalization of co-ideals in semigroup with apartness ordered under a co-quasiorder relation, we introduce the notions of interior co-ideals, quasi-interior co-ideals and weak-interior co-ideals. Additionally, we study the properties of these co-ideals of co-quasiordered semigroup with apartness and their interrelationships.http://ejma.euap.org/articles/537 |
| spellingShingle | Daniel A. Romano Constructive counterparts of some interior ideals in a co-quasiordered semigroup European Journal of Mathematics and Applications |
| title | Constructive counterparts of some interior ideals in a co-quasiordered semigroup |
| title_full | Constructive counterparts of some interior ideals in a co-quasiordered semigroup |
| title_fullStr | Constructive counterparts of some interior ideals in a co-quasiordered semigroup |
| title_full_unstemmed | Constructive counterparts of some interior ideals in a co-quasiordered semigroup |
| title_short | Constructive counterparts of some interior ideals in a co-quasiordered semigroup |
| title_sort | constructive counterparts of some interior ideals in a co quasiordered semigroup |
| url | http://ejma.euap.org/articles/537 |
| work_keys_str_mv | AT danielaromano constructivecounterpartsofsomeinterioridealsinacoquasiorderedsemigroup |