Integer-valued polynomials and binomially Noetherian rings
for each and i ≥ 0. The polynomial ring of integer-valued in rational polynomial is defined by Int ( an important example for binomial ring and is non-Noetherian ring. In this paper the algebraic structure of binomial rings has been studied by their properties of binomial ideals. The notion of...
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| Format: | Article |
| Language: | English |
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Salahaddin University-Erbil
2022-12-01
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| Series: | Zanco Journal of Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://zancojournal.su.edu.krd/index.php/JPAS/article/view/1251 |
| _version_ | 1827394257276633088 |
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| author | Shadman Kareem |
| author_facet | Shadman Kareem |
| author_sort | Shadman Kareem |
| collection | DOAJ |
| description | for each and i ≥ 0. The polynomial ring of integer-valued in rational polynomial is defined by Int ( an important example for binomial ring and is non-Noetherian ring. In this paper the algebraic structure of binomial rings has been studied by their properties of binomial ideals. The notion of binomial ideal generated by a given set has been defined. Which allows us to define new class of Noetherian ring using binomial ideals, which we named it binomially Noetherian ring. One of main result the ring Int ( over variables and present as an example of that kind of class of Noetherian. In general the ring Int( over the finite set of variables and for a particular subset in the rings Int both are presented as examples of that kind of class of Noetherian. |
| first_indexed | 2024-03-08T18:09:02Z |
| format | Article |
| id | doaj.art-d1f63a44f3fb4e209186678f52ac32ff |
| institution | Directory Open Access Journal |
| issn | 2218-0230 2412-3986 |
| language | English |
| last_indexed | 2024-03-08T18:09:02Z |
| publishDate | 2022-12-01 |
| publisher | Salahaddin University-Erbil |
| record_format | Article |
| series | Zanco Journal of Pure and Applied Sciences |
| spelling | doaj.art-d1f63a44f3fb4e209186678f52ac32ff2024-01-01T11:13:48ZengSalahaddin University-ErbilZanco Journal of Pure and Applied Sciences2218-02302412-39862022-12-0134s610.21271/ZJPAS.34.s6.7Integer-valued polynomials and binomially Noetherian rings Shadman Kareemfor each and i ≥ 0. The polynomial ring of integer-valued in rational polynomial is defined by Int ( an important example for binomial ring and is non-Noetherian ring. In this paper the algebraic structure of binomial rings has been studied by their properties of binomial ideals. The notion of binomial ideal generated by a given set has been defined. Which allows us to define new class of Noetherian ring using binomial ideals, which we named it binomially Noetherian ring. One of main result the ring Int ( over variables and present as an example of that kind of class of Noetherian. In general the ring Int( over the finite set of variables and for a particular subset in the rings Int both are presented as examples of that kind of class of Noetherian.https://zancojournal.su.edu.krd/index.php/JPAS/article/view/1251binomial ringinteger-valued polynomialbinomial idealnoetherian ringsbinomially noetherian rings. |
| spellingShingle | Shadman Kareem Integer-valued polynomials and binomially Noetherian rings Zanco Journal of Pure and Applied Sciences binomial ring integer-valued polynomial binomial ideal noetherian rings binomially noetherian rings. |
| title | Integer-valued polynomials and binomially Noetherian rings |
| title_full | Integer-valued polynomials and binomially Noetherian rings |
| title_fullStr | Integer-valued polynomials and binomially Noetherian rings |
| title_full_unstemmed | Integer-valued polynomials and binomially Noetherian rings |
| title_short | Integer-valued polynomials and binomially Noetherian rings |
| title_sort | integer valued polynomials and binomially noetherian rings |
| topic | binomial ring integer-valued polynomial binomial ideal noetherian rings binomially noetherian rings. |
| url | https://zancojournal.su.edu.krd/index.php/JPAS/article/view/1251 |
| work_keys_str_mv | AT shadmankareem integervaluedpolynomialsandbinomiallynoetherianrings |