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
Related Articles
- EP ID EP651768
- DOI 10.24297/jam.v13i3.6088
- Views 159
- Downloads 0
Solution of nonlinear equations using Mann iteration
In this paper, we recall some basic concepts, properties of the spaces and some types of iteration approaches. Also, we give algorithm - fixed point iteration scheme and examples. Finally, we obtain the solution of nonli...
Stability of the vibrations of a damped general inhomogeneous wave equation
In this paper, we consider the vibrations of an inhomogeneous damped wave under distributed disturbing force. The well-possedness of the system is studied. We prove that the amplitude of such vibrations is bounded u...
Supra Soft b-Compact and Supra Soft b-Lindle÷F Spaces
The purpose of this paper is to introduce and study the concepts of supra soft b-compact and supra soft b-Lindelˆf spaces. Also we study several of their properties and characterizations in details. Furthermore...
On Hydromagnetic Channel Flow of an Oldroyd-B Fluid induced by Pulses of Longitudinal Impulses
A flow problem concerning motion of an incompressible electrically conducting Oldroyd-B fluid in a channel bounded by two infinite rigid non-conducting parallel plates in presence of an external magnetic field...
Breaking Boundaries: Discovering the Impossible Counterproof of Beal’s Conjecture
This paper will attempt to logically differentiate between two types of fractions and discuss the idea of Zero as a neutral integer. This logic can then be followed to create a counterexample and a proof for Beal’s conje...