Effect algebras with the maximality property

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

Effect algebras with the maximality property

The maximality property was introduced in [9] in orthomodular posets as a common generalization of orthomodular lattices and orthocomplete orthomodular posets. We show that various conditions used in the theory of effect algebras are stronger than the maximality property, clear up the connections between them and show some consequences of these conditions. In particular, we prove that a Jauch–P...

متن کامل

On the maximality of subdiagonal algebras

We consider Arveson’s problem on the maximality of subdiagonal algebras. We prove that a subdiagonal algebra is maximal if it is invariant under the modular group of a faithful normal state which is preserved by the conditional expectation associated with the subdiagonal algebra.

متن کامل

Entropy on effect algebras with Riesz decomposition property II: MV-algebras

We continue the study of entropy. In Part I, we have introduced basic properties of entropy. Here we concentrate mainly on the state space which allows us to understand the entropy better, Section 8, and we introduce also quotient effect algebras. Section 9 studies shortly the problem of a so-called entropy generator theorem for effect algebras or MV-algebras. The main results of the present pa...

متن کامل

Relating maximality-based semantics to action refinement in process algebras

This paper extends to process algebras the notion of maximality which has initially been introduced for prime event structures and P/T nets and shows how this notion of maximality may be used for deening an adequate semantics of Basic LOTOS able to support action reenement. Such an approach appears to be more convenient than the classical ST-semantics where non atomic actions are split into sta...

متن کامل

Classes of Representable Algebras with the Amalgamation Property

We introduce an abstract class of algebras that is a proper reduct of both Pinter’s substitution algebras and cylindric algebras. We show that the class of representable algebras have the amalgamation property. Pinter’s substitution algebras were introduced by Pinter [13], [14]. Such algebras are obtained from cylindric algebras by dropping the diagonal elements and adding unary operations of s...

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: Algebra universalis

سال: 2009

ISSN: 0002-5240,1420-8911

DOI: 10.1007/s00012-009-0013-3