Positive derivations on partially ordered linear algebra with an order unit

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

Order Norms on Bounded Partially Ordered Sets

In this paper, we extend the domains of affirmation and negation operators, and more important, of triangular (semi)norms and (semi)conorms from the unit interval to bounded partially ordered sets. The fundamental properties of the original operators are proven to be conserved under this extension. This clearly shows that they are essentially based upon order-theoretic notions. Consequently, a ...

متن کامل

Derivations for Linear Algebra and Optimization

Much of this section was copied and paraphrased from Heath’s Scientific Computing. Anyways. Suppose we are looking for an orthogonal transformation that annihilates desired components of a given vector. Recall that a square real matrix Q is said to be orthogonal if its columns are orthonormal, that is, that Q Q = I. Orthogonal transformations are nice because they preserve Euclidean norms of an...

متن کامل

A Self-dual Hopf Algebra on Double Partially Ordered Sets

Let D be the set of isomorphism types of finite double partially ordered sets, that is sets endowed with two partial orders. On ZD we define a product and a coproduct, together with an internal product, that is, degree-preserving. With these operations ZD is a Hopf algebra, self-dual with respect to a scalar product which counts the number of pictures (in the sense of Zelevinsky) between two do...

متن کامل

Collected trivialities on algebra derivations

1. Derivations in general 1 1.1. Definitions and conventions . . . . . . . . . . . . . . . . . . . . . . . 1 1.2. Basic properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.3. The module of derivations . . . . . . . . . . . . . . . . . . . . . . . . 12 1.4. The k-algebra RA (M) . . . . . . . . . . . . . . . . . . . . . . . . . . 16 1.5. Compositions and tensor products . ....

متن کامل

Tripled partially ordered sets

In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partiallyordered sets. Some basic properties on these new dened sets are studied and some examples forclarifying are given.

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: Proceedings of the American Mathematical Society

سال: 1978

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1978-0491402-4