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A REPRESENTATION THEOREM FOR TENSE n×m-VALUED LUKASIEWICZ-MOISIL ALGEBRAS
| Content Provider | Semantic Scholar |
|---|---|
| Author | Pelaitay, Gustavo |
| Copyright Year | 2015 |
| Abstract | In 2000, Figallo and Sanza introduced n×m-valued Lukasiewicz-Moisil algebras which are both particular cases of matrix Lukasiewicz algebras and a generalization of n-valued Lukasiewicz-Moisil algebras. Here we initiate an investigation into the class tLMn×m of tense n × m-valued Lukasiewicz-Moisil algebras (or tense LMn×m-algebras), namely n×m-valued Lukasiewicz-Moisil algebras endowed with two unary operations called tense operators. These algebras constitute a generalization of tense Lukasiewicz-Moisil algebras (or tense LMn-algebras). Our most important result is a representation theorem for tense LMn×m-algebras. Also, as a corollary of this theorem, we obtain the representation theorem given by Georgescu and Diaconescu in 2007, for tense LMn-algebras. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://mb.math.cas.cz/full/140/3/mb140_3_7.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
