## 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 | |

12 other sections not shown

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### Common terms and phrases

abelian group assume automorphism band C-set called class number completely simple congruence conjecture conjugacy problem consider contains Corollary cryptogroup d-transversal defined Definition denote diagram Dickson polynomials division algebra division ring DPSK element EndZn example exists finite fields finitely presented free modules GF(q given group G group rings Hence homomorphism idempotent implies infinite inverse semigroup isomorphism lattice Lemma Let G Let S(P linear Math matroids max(x Mc(Zn metabelian groups multiplicity MV-algebra near-ring nl n2 Number Theory order unit ordered group orthodox semigroup p-congruence p-group permutes plane positive integer prime primitive rings Proof Proposition proved pseudocomplemented quadratic form quadratic function fields quasiorthodox rank regular semigroup regular warp result right ideal satisfies semilattice semiring sequence simple artinian simple semigroup socle soluble groups solvable structure subgroup subring subsemigroup subsemirings Suppose Theorem transversal geometry valuation ring vector space word problem