The hyper-archimedean kernel sequence of a lattice-ordered group
نویسندگان
چکیده
منابع مشابه
Archimedean - like Classes of Lattice - Ordered Groups
Suppose <? denotes a class of totally ordered groups closed under taking subgroups and quotients by o-homomorphisms. We study the following classes: (1) Res (£?), the class of all lattice-ordered groups which are subdirect products of groups in C; (2) Hyp(C), the class of lattice-ordered groups in Res(C) having all their ¿-homomorphic images in Res(<?); Para(C), the class of lattice-ordered gro...
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The category, or class of algebras, in the title is denoted by $bf W$. A hull operator (ho) in $bf W$ is a reflection in the category consisting of $bf W$ objects with only essential embeddings as morphisms. The proper class of all of these is $bf hoW$. The bounded monocoreflection in $bf W$ is denoted $B$. We classify the ho's by their interaction with $B$ as follows. A ``word'' is a function ...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1974
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700041022