On Representation in Information Theory

On Representation in Information Theory

Semiotics is widely applied in theories of information. Following the original triadic characterization of reality by Peirce, the linguistic processes involved in information—production, transmission, reception, and understanding—would all appear to be interpretable in terms of signs and their relations to their objects. Perhaps the most important of these relations is that of the representatio...

ON THE USE OF KULSHAMMER TYPE INVARIANTS IN REPRESENTATION THEORY

Since 2005 a new powerful invariant of an algebra has emerged using the earlier work of Horvath, Hethelyi, Kulshammer and Murray. The authors studied Morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. It was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

Neural Networks, Information Theory and Knowledge Representation

Information Systems Foundations: Theory, Representation and Reality

This paper aims to extend understanding of the nature of information systems and technology (IS/IT) artifacts and the manner in which information systems design theories address the mutable nature of these artifacts. The term ‘semizoa’ is introduced to refer to IS/IT artifacts as mutable systems that exhibit some of the characteristics of living creatures and that are only in part designable. I...

on the use of kulshammer type invariants in representation theory

since 2005 a new powerful invariant of an algebra has emerged using the earlier work of horvath, hethelyi, kulshammer and murray. the authors studied morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. it was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...