Magma-valued metric spaces
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866909704672772096 |
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| author | Nasehpour, Peyman |
| author_facet | Nasehpour, Peyman |
| contents | In the second section, we introduce dense unital magmas and show that a near-ring is dense if and only if it has a positive element smaller that unity. In the third section, we discuss magma-valued metric spaces. The density property of the ordered unital magmas and monoids helps us to generalize a couple of classical results related to the convergence and Cauchy property of sequences. The last section is devoted to magma-valued normed groups and some subgroups of the additive group of Cauchy sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_06838 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Magma-valued metric spaces Nasehpour, Peyman Commutative Algebra Group Theory Rings and Algebras 06F05, 40A05, 40J05 In the second section, we introduce dense unital magmas and show that a near-ring is dense if and only if it has a positive element smaller that unity. In the third section, we discuss magma-valued metric spaces. The density property of the ordered unital magmas and monoids helps us to generalize a couple of classical results related to the convergence and Cauchy property of sequences. The last section is devoted to magma-valued normed groups and some subgroups of the additive group of Cauchy sequences. |
| title | Magma-valued metric spaces |
| topic | Commutative Algebra Group Theory Rings and Algebras 06F05, 40A05, 40J05 |
| url | https://arxiv.org/abs/2204.06838 |