Generalized Projective product of semi-rings
The concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings. Furthermore, the commutativity of a given ring or semi-ring has been also investigat...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
College of Computer and Information Technology – University of Wasit, Iraq
2024-07-01
|
| Series: | Wasit Journal of Computer and Mathematics Science |
| Subjects: | |
| Online Access: | http://wjcm.uowasit.edu.iq/index.php/wjcm/article/view/131 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832582115060875264 |
|---|---|
| author | mohd Shahoodh |
| author_facet | mohd Shahoodh |
| author_sort | mohd Shahoodh |
| collection | DOAJ |
| description |
The concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings. Furthermore, the commutativity of a given ring or semi-ring has been also investigated under the notation of derivation and many studies have been published in this way. Based on the concept of derivation, its generalization has been introduced by Bresar [9] and a lot of works are presented about this generalization in various types of rings and semi-rings. Motivated by these works in the literature, we introduced the concept of generalized projective product of n-number of semi-rings. In addition, we studied the convers of this case which is saying that if the generalized projective product of n-number of semi-rings existed, then there exist a corresponding derivations, generalized derivations, semi-derivations, generalized semi-derivations, Jordan derivations, generalized Jordan derivations, Jordan semi-derivations and Generalized Jordan semi-derivations on the semi-rings Ri respectively for any i=1,2,..,k.
|
| format | Article |
| id | doaj-art-a95372b05e804470b7f4db98f49eb9de |
| institution | Kabale University |
| issn | 2788-5879 2788-5887 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | College of Computer and Information Technology – University of Wasit, Iraq |
| record_format | Article |
| series | Wasit Journal of Computer and Mathematics Science |
| spelling | doaj-art-a95372b05e804470b7f4db98f49eb9de2025-01-30T05:23:48ZengCollege of Computer and Information Technology – University of Wasit, IraqWasit Journal of Computer and Mathematics Science2788-58792788-58872024-07-013210.31185/wjcms.131Generalized Projective product of semi-ringsmohd Shahoodh0ministry of education The concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings. Furthermore, the commutativity of a given ring or semi-ring has been also investigated under the notation of derivation and many studies have been published in this way. Based on the concept of derivation, its generalization has been introduced by Bresar [9] and a lot of works are presented about this generalization in various types of rings and semi-rings. Motivated by these works in the literature, we introduced the concept of generalized projective product of n-number of semi-rings. In addition, we studied the convers of this case which is saying that if the generalized projective product of n-number of semi-rings existed, then there exist a corresponding derivations, generalized derivations, semi-derivations, generalized semi-derivations, Jordan derivations, generalized Jordan derivations, Jordan semi-derivations and Generalized Jordan semi-derivations on the semi-rings Ri respectively for any i=1,2,..,k. http://wjcm.uowasit.edu.iq/index.php/wjcm/article/view/131Projective productsemiringderivationgeneralized derivationsemiderivation |
| spellingShingle | mohd Shahoodh Generalized Projective product of semi-rings Wasit Journal of Computer and Mathematics Science Projective product semiring derivation generalized derivation semiderivation |
| title | Generalized Projective product of semi-rings |
| title_full | Generalized Projective product of semi-rings |
| title_fullStr | Generalized Projective product of semi-rings |
| title_full_unstemmed | Generalized Projective product of semi-rings |
| title_short | Generalized Projective product of semi-rings |
| title_sort | generalized projective product of semi rings |
| topic | Projective product semiring derivation generalized derivation semiderivation |
| url | http://wjcm.uowasit.edu.iq/index.php/wjcm/article/view/131 |
| work_keys_str_mv | AT mohdshahoodh generalizedprojectiveproductofsemirings |