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

来源：

FUZZY SETS AND SYSTEMS | 2020年 / 397卷

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

页码：84 / 106

页数：23

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