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Showing 1 to 3 of 3 for “"Loop theory"”.
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Sedenion extension loops and frames of hypercomplex 2[superscript n]-ons
… are considered from the point of view of loop theory. Although the sedenions do not directly yield loops in the way that Moufang loops are obtained from octonions, the left loop of non-zero sedenions does contain new two-sided subloops as sedenion extensions. These loops are constructed …
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Computable Model Theory on Loops
… algebras. Specifically, the algebras of loops and groups. We start by defining a loop and group, then give some of their properties. We then give an overview of comptability theory, and apply it to loops and groups. We conclude by showing that a finitely presented residually finite …
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Cayley-Dickson Loops
… this dissertation we study the Cayley-Dickson loops, multiplicative structures arising from the standard Cayley-Dickson doubling process. More precisely, the Cayley-Dickson loop <em>Q<sub>n</sub></em> is the multiplicative closure of basic elements of the algebra constructed by <em>n</em> …