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Autometrized Lattice Ordered Monoids

Autometrized Lattice Ordered Monoids

来源:Arxiv_logoArxiv
英文摘要

In this paper, we introduce the notion of Autometrized lattice ordered monoids (for short,AL-monoids) as a generalization to DRl-semi groups. We obtain the basic properties of AL-monoids. Also, we prove that Autometrized lattice ordered monoids are equationally definable. Furthermore, we show that AL-monoids are an optimal common abstraction of Boolean algebras and l-groups.

Tekalign Regasa Ashale、Girum Aklilu Abebe、Kolluru Venkateswarlu

数学

Tekalign Regasa Ashale,Girum Aklilu Abebe,Kolluru Venkateswarlu.Autometrized Lattice Ordered Monoids[EB/OL].(2025-06-21)[2025-07-02].https://arxiv.org/abs/2402.00361.点此复制

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