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Showing 1 to 6 of 6 for “"quasigroup"”.
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Dynamic key scheduling algorithm for block ciphers using quasigroup string transformation
… algorithms adopt the use of matrixes such as quasigroup, Hybrid cubes and substitution box (S-box) to generate the encryption keys. Quasigroup has other algebraic property called “Isotophism”, which literally means Different quasigroups that has the same order of elements but different …
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QUOTIENTS, EQUIVALENCE RELATIONS, AND NORMALITY IN NON-ASSOCIATIVE ALGEBRA WITH REGARDS TO LOOPS AND QUASIGROUPS
… of relations, quotients, normality, loops, quasigroups, and related theorems and varieties. Nonassociative algebra is a relatively new area of mathematics, it came about in the past hundred years, and has started making progress in the past 60 years. In nonassociative algebra, varieties do …
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On Loop Commutators, Quaternionic Automorphic Loops, and Related Topics
… deals with three topics inside loop and quasigroup theory. First, as a continuation of the project started by David Stanovský and Petr Vojtĕchovský, we study the commutator of congruences defined by Freese and McKenzie in order to create a more pleasing, equivalent definition of the …
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Polynomial Identities on Algebras with Actions
… when A is a Lie algebra, the grading is a quasigroup-grading, and, when A is an associative algebra, the grading is what we call a Lie-Jordan-grading. Lastly, we call certain H-polynomials in the free associative H-algebra essential, and show that, if an (associative) H-algebra A satisfies …
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Games on graphs, visibility representations, and graph colorings
… of A-cordiality involving digraphs and quasigroups, and we show that there are infinitely many Q-cordial digraphs for every quasigroup Q."
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Magpy: A Python Package for Magmas
<p>There exist a multitude of computational tools available to mathematicians, such as interactive and automated theorem provers, finite counter-example generators, and computer algebra systems, most of which have a complicated installation process, unintuitive syntax, a lack of comprehensiveness …