A categorical view of varieties of ordered algebras

نویسندگان

چکیده

Abstract It is well known that classical varieties of $\Sigma$ -algebras correspond bijectively to finitary monads on $\mathsf{Set}$ . We present an analogous result for ordered -algebras, is, categories algebras presented by inequations between -terms. prove they strongly $\mathsf{Pos}$ That those which preserve reflexive coinserters. deduce have a coinserter presentation, the coequalizer presentation due Kelly and Power. also show these are liftings Finally, equations proved extensions

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ژورنال

عنوان ژورنال: Mathematical Structures in Computer Science

سال: 2022

ISSN: ['1469-8072', '0960-1295']

DOI: https://doi.org/10.1017/s0960129521000463