## Algebraic structures and number theory: proceedings of the first international symposium, Hong Kong, August 8-13, 1988 |

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### Contents

Valuations on Rings and Simple Algebras | 10 |

On dTransversal Planes | 38 |

Analysis and Number Theory in Hyperbolic 3Space | 65 |

Copyright | |

5 other sections not shown

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### Common terms and phrases

abelian group Amer Archimedean assume automorphism band BCK-algebra C-set called class number commutative l-group completely simple congruence conjecture conjugacy problem consider construction contains Corollary cryptogroup deﬁne defined Definition denote diagram Dickson polynomials distributive p-algebras division algebra division ring DPSK element endomorphism EndZn example exists finite fields finitely presented ﬁrst free modules given group G Hence homomorphism idempotent implies inverse semigroup isomorphism l-group lattice Lemma Let G Let S(P linear Math matroids metabelian groups multiplicity near—ring order unit ordered group orthodox semigroup P-regular permutes plane positive integer prime primitive rings Proc Proof Proposition proved pseudocomplemented quadratic form quadratic function ﬁelds quasiorthodox rank regular semigroup regular warp result right ideal satisfies semigroup S(P semilattice semiring sequence simple artinian simple semigroup socle soluble groups structure subgroup subring subsemigroup subsemirings Suppose Theorem transversal geometry valuation ring vector space word problem