A note on idempotent semirings

For a commutative semiring $S$, by an $S$-algebra we mean a commutative semiring $A$ equipped with a homomorphism $S\to A$. We show that the subvariety of $S$-algebras determined by the identities $1+2x=1$ and $x^2=x$ is closed under non-empty colimits. The (known) closedness of the category of Bool...

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Bibliographic Details
Main Authors: Manuela Sobral, George Janelidze
Format: Article
Language:English
Published: Shahid Beheshti University 2025-01-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:https://cgasa.sbu.ac.ir/article_104793_c3ad43e48e0ab598d02b1afd64b7dccb.pdf
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