Weakly Distributive and Sectionally *Semilattice
نویسندگان
چکیده
منابع مشابه
Characterizations of the 0-distributive Semilattice
The 0-distributive semilattice is characterized in terms of semiideals, ideals and filters. Some sufficient conditions and some necessary conditions for 0-distributivity are obtained. Counterexamples are given to prove that certain conditions are not necessary and certain conditions are not sufficient.
متن کاملThe Semilattice Tensor Product of Distributive Lattices
We define the tensor product A ® S for arbitrary semilattices A and B. The construction is analogous to one used in ring theory (see 14], [7], [8]) and different from one studied by A. Waterman [12], D. Mowat [9], and Z. Shmuely [10]. We show that the semilattice A <3 B is a distributive lattice whenever A and B are distributive lattices, and we investigate the relationship between the Stone sp...
متن کاملWeakly Distributive Domains
In our previous work [17] we have shown that for any ω-algebraic meet-cpo D, if all higher-order stable function spaces built from D are ω-algebraic, then D is finitary. This accomplishes the first of a possible, two-step process in solving the problem raised in [1, 2]: whether the category of stable bifinite domains of Amadio-Droste-Göbel [1, 6] is the largest cartesian closed full subcategory...
متن کاملCountable Chains of Distributive Lattices as Maximal Semilattice Quotients of Positive Cones of Dimension Groups
We study the question whether a direct limit of a countable chain of distributive lattices with zero and zero-preserving join-homomorphisms can be represented as the maximal semilattice quotient of the positive cone of a dimension group. We answer the question in affirmative in case the sizes of the lattices are at most א1 and we find a counter-example of size 2, where a is a certain cardinal i...
متن کاملContributions to the Theory of Weakly Distributive Complete Boolean Algebras
We investigate complete Boolean algebras that carry a continuous submeasure.
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: Asian Journal of Algebra
سال: 2010
ISSN: 1994-540X
DOI: 10.3923/aja.2010.36.42