Lattice properties in dioids
| Autor: | G. Shobhalatha, K. Suresh |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Journal of Discrete Mathematical Sciences and Cryptography. 13:99-104 |
| ISSN: | 2169-0065 0972-0529 |
| DOI: | 10.1080/09720529.2010.10698279 |
| Popis: | A dioid (R, +, ·) means an idempotent semiring with additive identity ‘e’ and multiplicative identity ‘e’. In dioid if the multiplicative identity ‘e’ is an absorbing with respect to +, i.e., a + e = e + a = e, then addition distributes over multiplication. In this case the dioid is complete lattice and distributive. Using these we prove that a complete dioid is always a distributive lattice. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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