Timothy J. Hodges, Kyung‐Hee Kim, Richard Resco
Abstract
Let R be a Noetherian algebra over a field k. A formula is given for the Krull dimension of the ring R⊗k k(X) in terms of the heights of simple modules with large endomorphism rings.
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Let R be a Noetherian algebra over a field k. A formula is given for the Krull dimension of the ring R⊗k k(X) in terms of the heights of simple modules with large endomorphism rings.
Key concepts: Krull dimension, Mathematics, Regular local ring, Noetherian, Endomorphism, Pure mathematics, Global dimension, Valuation ring