skip to main content

SciTech ConnectSciTech Connect

Title: Generalized complement operators and applications in some semirings

Generalized complement operators on the semiring of all Boolean matrices as semilattice homomorphisms are considered. Some applications in solving equations on the set Bn of all binary relations are developed. In particular the structure of B3 is investigated by computer methods. Specific properties of the subsemigroup generated by all irregular relations in B3 are found. Stochastic experiments on the monoid Bn were made. The frequency of irregular elements as well as those of solvable equations depending on n is examined.
Authors:
 [1]
  1. Technical University of Sofia, 8, Kl.Ohridski Blvd, 1000 Sofia (Bulgaria)
Publication Date:
OSTI Identifier:
22262770
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1570; Journal Issue: 1; Conference: AMEE 13: 39. international conference on applications of mathematics in engineering and economics, Sozopol (Bulgaria), 8-13 Jun 2013; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; COMPUTERS; EQUATIONS; MATRICES; STOCHASTIC PROCESSES