Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 4 of 4 for “"division rings"”.
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On Nonassociative Division Rings and Projective Planes
… properties. The resulting nonassociative division ring is referred to as a ``semifield" in this paper. Semifields have intimate ties to finite projective planes. In short, a finite projective plane with certain restrictions gives rise to a semifield, and, in turn, a finite semifield can be …
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Extension of some theorems of complex functional analysis to linear spaces over the quaternions and Cayley numbers
… in the setting of linear spaces over the division rings of the real Quaternions and the real Cayley algebra. The basic structure of Banach spaces over these division rings and the rings of bounded operators on these spaces is developed. Examples of finite and infinite dimensional spaces …
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On Projective Planes & Rational Identities
… Theorem to the presence of an underlying division ring in a projective plane. Supplementing this correspondence is the general theory of intersection theorems, which, restricted to desarguian projective planes P, corresponds precisely to the theory of integral rational identities, …
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Grothendieck Semirings and Definable Endofunctions
… as the one of any infinite vector space over any division ring, is isomorphic to the semiring of nonnegative polynomials over the integers. A natural ordering on the semiring is related to an interesting property that definable endofunctions can have, namely, being surjective if and only if being …