Real Algebraic and Analytic Geometry
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.
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