Prelinear Hilbert algebras

被引:2
|
作者
Jose Luis, Castiglioni [1 ,2 ]
Sergio A, Celani [3 ]
Hernan J, San Martin [1 ,2 ]
机构
[1] Fac Ciencias Exactas UNLP, Dept Matemat, Casilla Correos 172, RA-1900 La Plata, Argentina
[2] Consejo Nacl Invest Cient & Tecn, Casilla Correos 172, RA-1900 La Plata, Argentina
[3] Consejo Nacl Invest Cient & Tecn, Dept Matemat, Fac Ciencias Exactas UNCPBA, Pinto 399, RA-7000 Tandil, Argentina
关键词
IMPLICATIVE SEMILATTICE EXTENSION; REPRESENTATION; SPACES;
D O I
10.1016/j.fss.2019.08.008
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we give an explicit description of the left adjoint of the forgetful functor from the algebraic category of Godel algebras (i.e., prelinear Heyting algebras) to the algebraic category of bounded prelinear Hilbert algebras. We apply this result in order to study possible descriptions of the coproduct of two finite algebras in the algebraic category of prelinear Hilbert algebras. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:84 / 106
页数:23
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