Some Aspects of -Units in BCK-Algebras
We explore properties of the set of d-units of a -algebra. A property of interest in the study of -units in -algebras is the weak associative property. It is noted that many other -algebras, especially -algebras, are in fact weakly associative. The existence of -algebras which are not weakly associa...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/141684 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552544271859712 |
|---|---|
| author | Hee Sik Kim J. Neggers Keum Sook So |
| author_facet | Hee Sik Kim J. Neggers Keum Sook So |
| author_sort | Hee Sik Kim |
| collection | DOAJ |
| description | We explore properties of the set of d-units of a -algebra. A property of interest in the study of -units in -algebras is the weak associative property. It is noted that many other -algebras, especially -algebras, are in fact weakly associative. The existence of -algebras which are not weakly associative is demonstrated. Moreover, the notions of a -integral domain and a left-injectivity are discussed. |
| format | Article |
| id | doaj-art-03b1a795718d40e4b5f48bcf9f85254d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-03b1a795718d40e4b5f48bcf9f85254d2025-02-03T05:58:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/141684141684Some Aspects of -Units in BCK-AlgebrasHee Sik Kim0J. Neggers1Keum Sook So2Department of Mathematics, Hanyang University, Seoul 133-791, Republic of KoreaDepartment of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USADepartment of Mathematics, Hallym University, Chuncheon 200-702, Republic of KoreaWe explore properties of the set of d-units of a -algebra. A property of interest in the study of -units in -algebras is the weak associative property. It is noted that many other -algebras, especially -algebras, are in fact weakly associative. The existence of -algebras which are not weakly associative is demonstrated. Moreover, the notions of a -integral domain and a left-injectivity are discussed.http://dx.doi.org/10.1155/2012/141684 |
| spellingShingle | Hee Sik Kim J. Neggers Keum Sook So Some Aspects of -Units in BCK-Algebras Journal of Applied Mathematics |
| title | Some Aspects of -Units in BCK-Algebras |
| title_full | Some Aspects of -Units in BCK-Algebras |
| title_fullStr | Some Aspects of -Units in BCK-Algebras |
| title_full_unstemmed | Some Aspects of -Units in BCK-Algebras |
| title_short | Some Aspects of -Units in BCK-Algebras |
| title_sort | some aspects of units in bck algebras |
| url | http://dx.doi.org/10.1155/2012/141684 |
| work_keys_str_mv | AT heesikkim someaspectsofunitsinbckalgebras AT jneggers someaspectsofunitsinbckalgebras AT keumsookso someaspectsofunitsinbckalgebras |