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- Title
Relations between ideals and regular congruence in idempotent semirings with a zero.
- Authors
Zhiu Bin; Yao Wei
- Abstract
The definitions of ideals and regular congruences inidempotent semirings with a zero are presented. It is shown that there is a one-to-one correspondence between all ideals and all regular congruences. The results can be used in the research of algebraic structure of some algebraic systems, such as quantale , residuated lattice, MV-algebra and incline.
- Subjects
MATHEMATICAL analysis; MATRICES (Mathematics); GEOMETRIC congruences; SEMIRINGS (Mathematics); MATHEMATICS; ALGEBRAIC curves
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2011, Vol 24, Issue 2, p253
- ISSN
1006-8341
- Publication type
Article