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edited Jul 4, 2016 at 14:22

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I'm looking for a reference in commutative algebra for the properties of the ring made of polynomials in $n$ indeterminate over a field $k$ with "real exponents".

I don't even know the name of this ring, and I would like to know which properties hold for it and for the modules over it.

Edit : As explained by YCor, it's the (semi)group algebra $k[\mathbf{R}^n_+]$ over the field $k$.

I would also like to add that my modules and ring are graded, exactly in the same way that $k[x, y]$ is a graded ring.

Thanks,

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edited Jun 30, 2016 at 22:05

YCor

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edited Jun 30, 2016 at 19:40

Neil Strickland

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Propreties Properties of a subring of a 'completed''completion' of k(X_1, X_2, ..., X_n)

I'm looking for a reference in commutative algebra for the propretiesproperties of the ring made of polynomspolynomials in n$n$ indeterminate over a field k$k$ with "real exponents".

I don't even know the name of this ring, and I would like to know wich propretieswhich properties hold for it and for the modules over it.

Thanks,

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asked Jun 30, 2016 at 14:54

Jeremy Cochoy

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Propreties Properties of a subring of a 'completed''completion' of k(X_1, X_2, ..., X_n)

Propreties of a subring of a 'completed' of k(X_1, X_2, ..., X_n)

Properties of a subring of a 'completion' of k(X_1, X_2, ..., X_n)