Domain Semirings United | Zendy

Uli Fahrenberg | Zendy; Christian Johansen | Zendy; Georg Struth | Zendy; Krzysztof Ziemiański | Zendy

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Domain Semirings United

Author(s) -

Uli Fahrenberg,

Christian Johansen,

Georg Struth,

Krzysztof Ziemiański

Publication year - 2022

Publication title -

acta cybernetica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.143

H-Index - 18

eISSN - 2676-993X

pISSN - 0324-721X

DOI - 10.14232/actacyb.291111

Subject(s) - semiring , idempotence , multiplicative function , bounded function , subalgebra , mathematics , domain (mathematical analysis) , distributive property , distributive lattice , kleene algebra , discrete mathematics , pure mathematics , algebra over a field , mathematical analysis

Domain operations on semirings have been axiomatised in two different ways: by a map from an additively idempotent semiring into a boolean subalgebra of the semiring bounded by the additive and multiplicative unit of the semiring, or by an endofunction on a semiring that induces a distributive lattice bounded by the two units as its image. This note presents classes of semirings where these approaches coincide.

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