Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2005; 42(1): 87-92

Printed March 1, 2005

Copyright © The Korean Mathematical Society.

Injective envelopes of simple modules over polynomial rings

Zhongming Tang

Suzhou University

Abstract

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Let $A$ be a polynomial ring over a field and $M$ a simple $A$-module. We generalize one result of Song about the description of the injective envelope $E_A(M)$ in terms of modules of generalized fractions.

Keywords: injective modules, generalized fractions, Galois groups

MSC numbers: 12F10, 13C11, 18G05

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