The left adjoint of Spec from a category of lattice-ordered groups
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- 作者：José ; Luis Castiglioni ; jlc@mate.unlp.edu.ar" class="auth_mail" title="E-mail the corresponding author ; Herná ; n Javier San Martí ; n hsanmartin@mate.unlp.edu.ar" class="auth_mail" title="E-mail the corresponding author
- 关键词：Lattice ordered abelian groups ; Categorical adjunction ; Local order units
- 刊名：Journal of Applied Logic
- 出版年：2016
- 出版时间：May 2016
- 年：2016
- 卷：15
- 期：Complete
- 页码：1-15
- 全文大小：401 K
文摘
Let us write 
for the category whose objects are lattice-ordered abelian groups (l-groups for short) with a strong unit and finite prime spectrum endowed with a collection of Archimedean elements, one for each prime l-ideal, which satisfy certain properties, and whose arrows are l -homomorphisms with additional structure. In this paper we show that a functor which assigns to each object the prime spectrum of A , and to each arrow the naturally induced p-morphism, has a left adjoint.
for the category whose objects are lattice-ordered abelian groups (l-groups for short) with a strong unit and finite prime spectrum endowed with a collection of Archimedean elements, one for each prime l-ideal, which satisfy certain properties, and whose arrows are l -homomorphisms with additional structure. In this paper we show that a functor which assigns to each object the prime spectrum of A , and to each arrow the naturally induced p-morphism, has a left adjoint.