Publication details
Quantale-valued sup-algebras
| Authors | |
|---|---|
| Year of publication | 2018 |
| Type | Article in Periodical |
| Magazine / Source | Iranian Journal of Fuzzy Systems |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.22111/ijfs.2017.3440 |
| Doi | http://dx.doi.org/10.22111/IJFS.2018.3759 |
| Field | General mathematics |
| Keywords | Q-order; Q-sup-lattice; Q-ordered algebra; Q-sup-algebra; quotient; subalgebra |
| Description | Based on the notion of Q-sup-lattices (a fuzzy counterpart of complete join-semilattices valuated in a commutative quantale), we present the concept of Q-sup-algebras - Q-sup-lattices endowed with a collection of finitary operations compatible with the fuzzy joins. Similarly to the crisp case investigated by Zhang and Laan, we characterize their subalgebras and quotients, and following Solovyov, we show that the category of Q-sup-algebras is isomorphic to a certain subcategory of a category of Q-modules. |
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