Free Monadic Tarski and MMI 3 -Algebras

Demonstratio mathematica

article

Rosana V. Entizne¹  Luiz F. Monteiro¹  Sonia M. Savini¹  Ignacio D. Viglizzo¹ 

[1] DEPARTAMENTO DE MATEMÁTICA UNIVERSIDAD NACIONAL DEL SUR Avda.

关键词: and phrases Tarski algebras;    MMI3-algebras;    free algebras;    monadic extension;    generators;   

DOI  :  10.2478/dema-2014-0042

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

MMI 3 -algebras are a generalization of the monadic Tarski algebras as defined by A. Monteiro and L. Iturrioz, and a particular case of the MMI n+1 -algebras defined by A. Figallo. They can also be seen as monadic three-valued Łukasiewicz algebras without a first element. By using this point of view, and the free monadic extensions, we construct the free MMI 3 -algebras on a finite number of generators, and indicate the coordinates of the generators. As a byproduct, we also obtain a construction of the free monadic Tarski algebras.

【 授权许可】

CC BY