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Titlebook: Nearrings, Nearfields and K-Loops; Proceedings of the C Gerhard Saad,Momme Johs Thomsen Conference proceedings 1997 Kluwer Academic Publish

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Near-Rings and Rings Generated by Homomorphisms on Groups a d.g. near-ring. This near-ring can be a ring even when ., the additive subgroup generated by ∪. ∈ . is nonabelian. Conditions on . or . are given for this to occur, with examples to illustrate the theory developed. Similarly conditions are developed for . to be distributive. The function (α)Θ = α
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Circles and Their Interior Points from Field Generated Ferrero Pairsas circles..The concept of double planar nearrings intensifies the influence of geometry. Apart from circles also rays and lines can be introduced. In [2] these notions are used for defining segments, angles and triangles. An additional step in this development is the definition of interior and exte
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On Involution Sets Induced by Neardomains groups . exists where the set .. is not a group (.: set of involutions of .). In this paper we introduce .: The set of involutions . of a sharply 2-transitive permutation group is a specific involution set of characteristic . if all elements of ..{id} have odd prime order . (in other words: if the
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Superprime Near-Rings the commutative to the non-commutative case, namely completely prime, is too strong since for example, maximal ideals in a ring with identity need not be completely prime; no matrix ring can be completely prime; the completely prime radical does not coincide with the nil radical on rings with dcc o
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Involutions on Universal Algebrasds four distinct types of involutions on algebras with two binary operations and two distinct types on the category of rings. Subdirectly irreducible universal algebras with involution are considered in detail. A subdirectly irreducible universal algebra with involution is either subdirectly irreduc
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Henry E. Heatherly,Enoch K. S. Lee,Richard Wiegandtexposition of the work in Groszek and Shore [12]. Its subject matter is certainly based in set theory and deals with the continuum but with a decidedly recursion theoretic bent. We are concerned with the ordering of reals under relative constructibility. For reals . and ., .. .. functions from ω int
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From Nearrings and Nearfields to K-Loopser stetigen Fastkörper ýber dem K00F6;rper der reelen Zahlen als Grundk00F6;rper” supervised by HANS ZASSENHAUS. ZASSENHAUS had also a formative influence on JOHANNES ANDRÉ who had attended several of his lectures in Hamburg.
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Near-Rings and Rings Generated by Homomorphisms on GroupsProperties of .(.), where . or . is abelian, are investigated. There is a rich interplay between the near-rings (rings) .(.) and .) and the groups ., and .. Exemplary of this is: let . be abelian, then Θ is surjective if and only if . is a semidirect sum of . and a normal subgroup.
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