The semilattice tensor product of distributive lattices

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The 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 کامل

Direct Product Decompositions of Infinitely Distributive Lattices

Let α be an infinite cardinal. Let Tα be the class of all lattices which are conditionally α-complete and infinitely distributive. We denote by T ′ σ the class of all lattices X such that X is infinitely distributive, σ-complete and has the least element. In this paper we deal with direct factors of lattices belonging to Tα. As an application, we prove a result of Cantor-Bernstein type for latt...

متن کامل

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 کامل

Chain Conditions in the Distributive Free Product of Lattices

1. Introduction. A typical result of this paper is the following. Let Lt, i e I be distributive lattices satisfying the countable chain condition. Then the free product L of these lattices also satisfies the countable chain condition. To be able to state the general result we need some notations. Let trt be an infinite cardinal. A poset (partially ordered set) P is said to satisfy the m-chain c...

متن کامل

Countable 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 کامل

ذخیره 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: Transactions of the American Mathematical Society

سال: 1976

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1976-0392728-8