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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.00361 |
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| _version_ | 1866909654821371904 |
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| author | Ashale, Tekalign Regasa Abebe, Girum Aklilu Venkateswarlu, Kolluru |
| author_facet | Ashale, Tekalign Regasa Abebe, Girum Aklilu Venkateswarlu, Kolluru |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00361 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Autometrized Lattice Ordered Monoids Ashale, Tekalign Regasa Abebe, Girum Aklilu Venkateswarlu, Kolluru Logic 06F05, 08B15 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. |
| title | Autometrized Lattice Ordered Monoids |
| topic | Logic 06F05, 08B15 |
| url | https://arxiv.org/abs/2402.00361 |