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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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On Involution Sets Induced by Neardomainsfinite or of characteristic 3 has the property: .. is a group if . is embeddable in a sharply 2-transitive permutation group. The main result of this paper is that this holds in general: For each specific involution set . which is finite or of characteristic 3 holds: .. is a group.
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t der Bundeswehr Hamburg, from July 30 to August 06, 1995. This Conference was attended by 70 mathematicians and many accompanying persons who represented 22 different countries from all five continents. Thus it was the largest conference devoted entirely to nearrings and nearfields. The first of th
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Ordered Nearfieldsogies of nearfield orders were studied by H. Wefelscheid [23]. He remarked that they need not be nearfield topologies. D. Gröger [4] added numerous new results and investigated .-couplings on ordered transcendental field extensions at great length.
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The Structure of Ω-Groupsxisting for groups or rings (non-associative). Two fundamental notions relating to these algebras are those of nilpotency and solubility. It is not immediately clear that for these algebras such notions can be unified. However, reasonably deep underlying unification, that also includes all Ω-groups can be achieved.
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Involutions on Universal AlgebrasFocus then turns to algebras with two binary operations, particularly near-rings and rings. Subdirectly irreducible objects in the categories of distributive near-rings and of rings are characterized in greater detail, with close attention given to their additive structure.
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Gary F. Birkenmeier,Henry E. Heatherly,Günter F. Pilz
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