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Dually hemimorphic semi-Nelson algebras
Logic Journal of the IGPL ( IF 1 ) Pub Date : 2019-11-15 , DOI: 10.1093/jigpal/jzz030
Juan Manuel Cornejo 1 , HernÁn Javier San MartÍn 2
Affiliation  

Extending the relation between semi-Heyting algebras and semi-Nelson algebras to dually hemimorphic semi-Heyting algebras, we introduce and study the variety of dually hemimorphic semi-Nelson algebras and some of its subvarieties. In particular, we prove that the category of dually hemimorphic semi-Heyting algebras is equivalent to the category of dually hemimorphic centered semi-Nelson algebras. We also study the lattice of congruences of a dually hemimorphic semi-Nelson algebra through some of its deductive systems.

中文翻译:

双半形半尼尔森代数

将半Heyting代数和半Nelson代数之间的关系扩展到双半形半Heyting代数,我们介绍并研究了双半半形半Nelson代数及其某些子变体。特别地,我们证明了双半形半Heyting代数的范畴与双半形中心的半纳尔逊代数的范畴相等。我们还通过其某些演绎系统研究了双半同态半纳尔逊代数的全等格。
更新日期:2019-11-15
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