Ideals in Heyting Semilattices and Open Homomorphisms
نویسندگان
چکیده
منابع مشابه
Ideals in Heyting Semilattices and Open Homomorphisms
Subfitness and its relation to openness and completeness is studied in the context of Heyting semilattices. A formally weaker condition (c-subfitness) is shown to be necessary and sufficient for openness and completeness to coincide. For a large class of spatial frames, c-subfit ≡ subfit.
متن کاملOn congruences, ideals and homomorphisms over multilattices
In this paper, we focus on the notions of congruence, ideal and homomorphism on the generalized structure of multilattice. We provide suitable definitions of these notions in order to guarantee the classical relationship between these concepts.
متن کاملThe Kernels and Continuity Ideals of Homomorphisms
We give a description of the continuity ideals and the kernels of homomorphisms from the algebras of continuous functions on locally compact spaces into Banach algebras.
متن کاملBorel homomorphisms of smooth σ-ideals
Given a countable Borel equivalence relation E on a Polish space, let IE denote the σ-ideal generated by the Borel partial transversals of E. We show that there is a Borel homomorphism from IE to IF if and only if there is a smooth-to-one Borel homomorphism from a finite index Borel subequivalence relation of E to F . As a corollary, we see that IE is homogeneous in the sense of Zapletal (2007,...
متن کاملBehavior of Test Ideals under Smooth and Etale Homomorphisms
We investigate the behavior of the test ideal of an excellent reduced ring of prime characteristic under base change. It is shown that if h : A ?! D is a smooth homomorphism, then A D = D , assuming that all residue elds of A at maximal ideals are perfect and that formation of the test ideal commutes with localization. It is also shown that if h : (A; m) ?! D is a nite at homomorphism of Gorens...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quaestiones Mathematicae
سال: 2007
ISSN: 1607-3606,1727-933X
DOI: 10.2989/16073600709486208