Generalized Centroid of Hyperrings
In this paper, the notion of generalized centroid is applied to hyperrings. We show that the generalized centroid C of a semiprime hyperring R is a regular hyperring. Also, we show that if C is a hyperfield, then R is a prime hyperring.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2022-03-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1387 |
| _version_ | 1797710398190780416 |
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| author | Yazarli Hasret Davvaz Bijan Yilmaz Damla |
| author_facet | Yazarli Hasret Davvaz Bijan Yilmaz Damla |
| author_sort | Yazarli Hasret |
| collection | DOAJ |
| description | In this paper, the notion of generalized centroid is applied to hyperrings. We show that the generalized centroid C of a semiprime hyperring R is a regular hyperring. Also, we show that if C is a hyperfield, then R is a prime hyperring. |
| first_indexed | 2024-03-12T06:51:38Z |
| format | Article |
| id | doaj.art-d898e95c38ec4e52b70b338bd5a7a64f |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T06:51:38Z |
| publishDate | 2022-03-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-d898e95c38ec4e52b70b338bd5a7a64f2023-09-03T00:16:13ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732022-03-0142151610.7151/dmgaa.1387Generalized Centroid of HyperringsYazarli Hasret0Davvaz Bijan1Yilmaz Damla2Sivas Cumhuriyet University, Faculty of Science, Department of Mathematics, Sivas, TurkeyYazd University, Department of Mathematics Yazd, IranErzurum Technical University, Faculty of Science, Department of Mathematics, Erzurum, TurkeyIn this paper, the notion of generalized centroid is applied to hyperrings. We show that the generalized centroid C of a semiprime hyperring R is a regular hyperring. Also, we show that if C is a hyperfield, then R is a prime hyperring.https://doi.org/10.7151/dmgaa.1387hyperringsemiprime hyperringgeneralized centroidregular hyperring20n2016y20 |
| spellingShingle | Yazarli Hasret Davvaz Bijan Yilmaz Damla Generalized Centroid of Hyperrings Discussiones Mathematicae - General Algebra and Applications hyperring semiprime hyperring generalized centroid regular hyperring 20n20 16y20 |
| title | Generalized Centroid of Hyperrings |
| title_full | Generalized Centroid of Hyperrings |
| title_fullStr | Generalized Centroid of Hyperrings |
| title_full_unstemmed | Generalized Centroid of Hyperrings |
| title_short | Generalized Centroid of Hyperrings |
| title_sort | generalized centroid of hyperrings |
| topic | hyperring semiprime hyperring generalized centroid regular hyperring 20n20 16y20 |
| url | https://doi.org/10.7151/dmgaa.1387 |
| work_keys_str_mv | AT yazarlihasret generalizedcentroidofhyperrings AT davvazbijan generalizedcentroidofhyperrings AT yilmazdamla generalizedcentroidofhyperrings |