We propose a generalization of differentiable algebras, where the underlying differential structure is replaced by a uniform idempotent right quasigroup (irq). Then a emergent algebra is a algebra A over the uniform irq X such that all operations and algebraic relations from A can be constructed or deduced from combinations of operations in the uniform irq, possibly by taking limits which are u...

We introduce the uniform data model to reason about relational data and meta-data query processing. The principal property of the uniform data model is that both meta-data and data are organized in uniformly shaped information objects. This uniform treatment of meta-data and data allows for the design of query languages that are independent of the meta-data/data separation. We present two query...

We introduce the uniform data model to reason about relational data and meta-data query processing. The principal property of the uniform data model is that both meta-data and data are organized in uniformly shaped information objects. This uniform treatment of meta-data and data allows for the design of query languages that are independent of the meta-data/data separation. We present two query...

In the present paper, the concepts of module (uniform) approximate amenability and contractibility of Banach algebras that are modules over another Banach algebra, are introduced. The general theory is developed and some hereditary properties are given. In analogy with the Banach algebraic approximate amenability, it is shown that module approximate amenability and contractibility are the same ...

Network algebra is proposed as a uniform algebraic framework for the description and analysis of dataflow networks. An equational theory of networks, called BNA (Basic Network Algebra), is presented. BNA, which is essentially a part of the algebra of flownomials, captures the basic algebraic properties of networks. For asynchronous dataflow networks, additional constants and axioms are given; a...

We study the question of whether or not contractive representations of logmodular algebras are completely contractive. We prove that a 2-contractive representation of a logmodular algebra extends to a positive map on the enveloping C∗-algebra, which we show generalizes a result of Foias and Suciu on uniform logmodular algebras. Our proof uses non-commutative operator space generalizations of cl...