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- Title
Subdirect product decompositions of additively regular semirings.
- Authors
Xian, Xuliang; Shao, Yong
- Abstract
We first obtain several subdirect product decompositions of additively regular semirings by constructing several pairs of generalized factor congruences. Next, we define and study several additively regular semiring varieties by congruence openings and closure congruences. Moreover, as an application, we obtain several pullback product decompositions of additively regular band semirings. Finally, we establish order embedding theorems on the poset of subvarieties of the additively regular semiring e-variety A R .
- Subjects
EMBEDDING theorems; GEOMETRIC congruences
- Publication
Soft Computing - A Fusion of Foundations, Methodologies & Applications, 2024, Vol 28, Issue 1, p51
- ISSN
1432-7643
- Publication type
Article
- DOI
10.1007/s00500-023-09150-4