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State operators on GMV algebras |
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| Authors: | Ji??? Rach?nek Dana ?alounov?? |
| Affiliation: | (1) Department of Algebra and Geometry, Faculty of Sciences, Palack? University, Tomkova 40, 779 00 Olomouc, Czech Republic;(2) Department of Mathematical Methods in Economy, Faculty of Economics, VŠB-Technical University Ostrava, Sokolsk? 33, 701 21 Ostrava, Czech Republic |
| Abstract: | Flaminio and Montagna recently introduced state MVMV algebras as MVMV algebras with an internal state in the form of a unary operation. Di Nola and Dvurečenskij further presented a stronger variation of state MVMV algebras called state-morphism MVMV algebras. In the paper we present state GMVGMV algebras and state-morphism GMVGMV algebras which are non-commutative generalizations of the mentioned algebras. |
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