Sturdy frames of type $(2,2)$ algebras and their applications to semirings
Volume 179 / 2003
Fundamenta Mathematicae 179 (2003), 69-81 MSC: 16Y60, 08B25, 20M07. DOI: 10.4064/fm179-1-6
We introduce sturdy frames of type $(2,2)$ algebras, which are a common generalization of sturdy semilattices of semigroups and of distributive lattices of rings in the theory of semirings. By using sturdy frames, we are able to characterize some semirings. In particular, some results on semirings recently obtained by Bandelt, Petrich and Ghosh can be extended and generalized.