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A note on compact semirings which are multiplicative semilattices

Year: 1974
Type: article
Abstract: The topic of this note is the structure of a topological semiring in which a semilattice (commutative, idempotent and associative) multiplication, with identity and connected upper sets, has been postulated.Assuming the topology to be compact, additions compatible with the multiplication can be characterized for certain canonical subsets of the semiring.In particular instances the characterization of addition can be extended to the entire semiring itself.
Language: English
Open Access status: bronze
OpenAlex ID: W2020722573
FWCI: 12.86
Cites: 31
Cited by: 23
Related to: 10