The Kernel and Trace Approach to Congruences on Completely Regular Semirings
On completely regular semirings, we give alternative characterizations for the kernel of a congruence and idempotent pure congruences. Then we give alternative characterizations for the trace of a congruence and idempotent separating congruences. In addition, we conclude that a congruence is uniquely determined by its kernel and trace.
Authors
- Xuliang Xian (ORCID: https://orcid.org/0000-0001-7338-5923)
- Yong Shao (ORCID: https://orcid.org/0000-0002-3895-5246)
Institutions
- Northwest University (CN)
Publication Details
- Journal
- Algebra Colloquium
- Published
- 2024-11-29
- DOI
- https://doi.org/10.1142/s1005386724000476
- Primary Topic
- Fuzzy and Soft Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00