On k-ideals of semirings
Certain types of ring congruences on an additive inverse semiring are characterized with the help of full k-ideals. It is also shown that the set of all full k-ideals of an additively inverse semiring in which addition is commutative forms a complete lattice which is also modular.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1992-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000437 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563099028160512 |
|---|---|
| author | M. K. Sen M. R. Adhikari |
| author_facet | M. K. Sen M. R. Adhikari |
| author_sort | M. K. Sen |
| collection | DOAJ |
| description | Certain types of ring congruences on an additive inverse semiring are characterized with the help of full k-ideals. It is also shown that the set of all full k-ideals of an additively inverse semiring in which addition is commutative forms a complete lattice which is also modular. |
| format | Article |
| id | doaj-art-7f31988c0f1a491b95acf5f11b60af06 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7f31988c0f1a491b95acf5f11b60af062025-02-03T01:20:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115234735010.1155/S0161171292000437On k-ideals of semiringsM. K. Sen0M. R. Adhikari1Department of Pure Mathematics, Calcutta University, 35, Ballygunge Circular Road, Calcutta 700 019, IndiaDepartment of Mathematics, University of Burdwan, Golapbag, Burdwan, West Bengal, IndiaCertain types of ring congruences on an additive inverse semiring are characterized with the help of full k-ideals. It is also shown that the set of all full k-ideals of an additively inverse semiring in which addition is commutative forms a complete lattice which is also modular.http://dx.doi.org/10.1155/S0161171292000437semiringinverse semiringk-ideals and ring congruence. |
| spellingShingle | M. K. Sen M. R. Adhikari On k-ideals of semirings International Journal of Mathematics and Mathematical Sciences semiring inverse semiring k-ideals and ring congruence. |
| title | On k-ideals of semirings |
| title_full | On k-ideals of semirings |
| title_fullStr | On k-ideals of semirings |
| title_full_unstemmed | On k-ideals of semirings |
| title_short | On k-ideals of semirings |
| title_sort | on k ideals of semirings |
| topic | semiring inverse semiring k-ideals and ring congruence. |
| url | http://dx.doi.org/10.1155/S0161171292000437 |
| work_keys_str_mv | AT mksen onkidealsofsemirings AT mradhikari onkidealsofsemirings |