A new perspective on the tensor product of semi-lattices
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917603324198912 |
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| author | Buffenoir, Eric |
| author_facet | Buffenoir, Eric |
| contents | We adopt a new perspective on the tensor product of arbitrary semi-lattices. Our basic construction exploits a description of semi-lattices in terms of bi-extensional Chu spaces associated to a target space defined to be the boolean domain. The comparison between our tensor product and the canonical tensor product, introduced by G.A. Fraser, is made in the distributive case and in the general case. Some properties of our tensor products are also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_16420 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A new perspective on the tensor product of semi-lattices Buffenoir, Eric Rings and Algebras We adopt a new perspective on the tensor product of arbitrary semi-lattices. Our basic construction exploits a description of semi-lattices in terms of bi-extensional Chu spaces associated to a target space defined to be the boolean domain. The comparison between our tensor product and the canonical tensor product, introduced by G.A. Fraser, is made in the distributive case and in the general case. Some properties of our tensor products are also given. |
| title | A new perspective on the tensor product of semi-lattices |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2306.16420 |