Internal states on equality algebras (Q344089)
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scientific article; zbMATH DE number 6655021
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Internal states on equality algebras |
scientific article; zbMATH DE number 6655021 |
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Internal states on equality algebras (English)
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22 November 2016
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The internal states and the state-morphism operators on equality algebras and on their corresponding BCK-meet-semilattices are studied. The main result consists of proving that any state-morphism on a linearly ordered equality algebra is an internal state on it. Moreover, any internal state on a linearly ordered BCK-meet-semilattice satisfying the distributivity condition is also an internal state on its corresponding equality algebra and a state-morphism on a BCK-meet-semilattice satisfying the distributivity condition is also a state-morphism on its corresponding equality algebra.
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internal state
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equality algebra
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BCK-algebra
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state-morphism operator
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