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Titlebook: Conference on Commutative Algebra; Lawrence, Kansas 197 James W. Brewer,Edgar A. Rutter Conference proceedings 1973 Springer-Verlag Berlin

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楼主: 徽章
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https://doi.org/10.1007/978-3-0348-8419-8If R and S are rings with S a unitary extension of R, the faithfulness of the functor S ..(−) is studied.
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Introduction: An Autoethnographic Journey,This note is concerned with estimates of the minimal number of generators for maximal ideals in polynomial rings — estimates extending the well known facts of the case wherein the coefficient ring is a field.
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https://doi.org/10.1007/1-4020-4422-4This paper considers ten conditions on the set of overrings of an integral domain D with identity. Each of these conditions is satisfied if D is a Prüfer domain. Relations among the conditions are discussed, and several related questions are mentioned.
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https://doi.org/10.1007/1-4020-4422-4A large class of rings of algebraic functions are shown to be principal ideal domains but not Euclidean with respect to any possible algorithm.
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https://doi.org/10.1007/1-4020-4422-4This note contains generalizations of two results of Abhyankar [1] which give a bound for the embedding dimension of certain local rings in terms of the multiplicity and the dimension of the ring.
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,A note on the faithfulness of the functor S ,,(−),If R and S are rings with S a unitary extension of R, the faithfulness of the functor S ..(−) is studied.
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Maximal ideals in polynomial rings,This note is concerned with estimates of the minimal number of generators for maximal ideals in polynomial rings — estimates extending the well known facts of the case wherein the coefficient ring is a field.
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,Prüfer-like conditions on the set of overrings of an integral domain,This paper considers ten conditions on the set of overrings of an integral domain D with identity. Each of these conditions is satisfied if D is a Prüfer domain. Relations among the conditions are discussed, and several related questions are mentioned.
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