Existence Of Coefficient Subring for Transcendental Extension Ring
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2017, Vol 13, Issue 3
Abstract
As a consequence of Cohen's structure Theorem for complete local rings that every _nite commutative ring R of characteristic pn contains a unique special primary subring R0 satisfying R/J(R) = R0/pR0: Cohen called R0 the coe_cient subring of R. In this paper we will study the case when the ring is a transcendental extension local artinian duo ring R; we proved that even in this case R will has a commutative coe_cient subring.
Authors and Affiliations
Hanan Abdulaziz Alolaiyan
Keywords
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- EP ID EP651768
- DOI 10.24297/jam.v13i3.6088
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