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Andrei V. Kelarev

Researcher at RMIT University

Publications -  219
Citations -  3733

Andrei V. Kelarev is an academic researcher from RMIT University. The author has contributed to research in topics: Semigroup & Mathematical sciences. The author has an hindex of 27, co-authored 212 publications receiving 3303 citations. Previous affiliations of Andrei V. Kelarev include Ural State University & University of Melbourne.

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Book ChapterDOI

Information Rates and Weights of Codes in Structural Matrix Rings

TL;DR: This work considers two-sided ideals in structural matrix rings defined in terms of directed graphs with the set of vertices corresponding to rows and columns, and with edges corresponding to nonzero entries in matrices of the ring.
Book ChapterDOI

Establishing Reasoning Communities of Security Experts for Internet Commerce Security

TL;DR: This chapter suggests appropriate reasoning methods and demonstrates how establishing reasoning communities of security experts and enabling productive group discourse among them can play a crucial role in successful resolution of problems concerning the implementation, integration, deployment and maintenance of flexible local security systems for defense against malware threats in internet security.
Journal ArticleDOI

Semigroup gradings of full matrix rings

TL;DR: In this article, the authors describe all gradings A = ⊕ s∈S A S of A by S such that all standard matrix units eij of A are homogeneous elements of A.
Journal ArticleDOI

Optimization of classifiers for data mining based on combinatorial semigroups

TL;DR: The main theorem gives a complete description of all optimal classifiers in this novel construction of multiple classification systems, or classifiers, combining several binary classifiers based on combinatorial Rees matrix semigroups without any restrictions on the sandwich-matrix.