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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.
Papers
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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.
Journal Article
Optimization methods and the k-committees algorithm for clustering of sequence data
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.