Real Algebraic and Analytic Geometry

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192. Carlos Andradas, M. P. Vélez:
On the non reduced order spectrum of real curves: some examples and remarks.

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Submission: 2006, January 31.

The nonreduced order spectrum of a commutative ring was introduced by McEnerney and Stengle in [J. McEnerney, G. Stengle, The nonreduced order spectrum of a commutative ring, Revista Matemática de la UCM, Vol. 10 (1997)]. It is similar to real spectrum but allows the presence of nilpotent. Here we study the case of real curves giving some properties and illustrative examples.

Mathematics Subject Classification (2000): 14P05, 06F25.

Keywords and Phrases: nonreduced order, order spectrum, real curves.

Full text, 11p.: dvi 44k, ps.gz 124k, pdf 156k.

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