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Valuation and Discrete Valuation Codes
"... In this paper we defined codes over a finitely generated commutative valuation rings. First we defined field encoding and after that defined valuation code over valuation rings and discrete valuation code over discrete valuation rings. ..."
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In this paper we defined codes over a finitely generated commutative valuation rings. First we defined field encoding and after that defined valuation code over valuation rings and discrete valuation code over discrete valuation rings.
Explicit Constructions in Discrete Valuations
"... In this paper we give an explicit construction of a system of parametric equations describing a discrete valuation over k((X 1 ; : : : ; Xn )). This amounts to finding a parameter and a eld of coefficients. We devote section 1 to finding an element of value 1, that is, the parameter. The field of c ..."
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In this paper we give an explicit construction of a system of parametric equations describing a discrete valuation over k((X 1 ; : : : ; Xn )). This amounts to finding a parameter and a eld of coefficients. We devote section 1 to finding an element of value 1, that is, the parameter. The field
Explicit constructions in discrete valuations
, 2008
"... In this paper we give an explicit construction of a system of parametric equations describing a discrete valuation over k((X1,..., Xn)). This amounts to finding a parameter and a field of coefficients. We devote section 1 to finding an element of value 1, that is, the parameter. The field of coeffic ..."
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In this paper we give an explicit construction of a system of parametric equations describing a discrete valuation over k((X1,..., Xn)). This amounts to finding a parameter and a field of coefficients. We devote section 1 to finding an element of value 1, that is, the parameter. The field
Ramification of truncated discrete valuation rings
"... A truncated discrete valuation ring (abbr. tdvr in the following) is a commutative ring which is isomorphic to a quotient of finite length of a discrete valuation ring (equivalently, it can be defined to be an Artinian local ring whose maximal ideal is generated by one element). In this paper, we e ..."
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A truncated discrete valuation ring (abbr. tdvr in the following) is a commutative ring which is isomorphic to a quotient of finite length of a discrete valuation ring (equivalently, it can be defined to be an Artinian local ring whose maximal ideal is generated by one element). In this paper, we
Competing auctions with discrete valuations
"... Summary: This paper considers a situation of two sellers of perfectly substitutable items competing in publicly announced reserve prices to induce potential bidders participation at their auction. After learning their own valuations and upon observing the reserve prices, potential bidders make a par ..."
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Summary: This paper considers a situation of two sellers of perfectly substitutable items competing in publicly announced reserve prices to induce potential bidders participation at their auction. After learning their own valuations and upon observing the reserve prices, potential bidders make a
Extensions of truncated discrete valuation rings
 Pure Appl. Math. Q. (J.P. Serre special issue
"... An equivalence is established between the category of at most aramified finite separable extensions of a complete discrete valuation field K and the category of at most aramified finite extensions of the “lengtha truncation ” OK/maK of the integer ring of K. 1 ..."
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Cited by 3 (2 self)
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An equivalence is established between the category of at most aramified finite separable extensions of a complete discrete valuation field K and the category of at most aramified finite extensions of the “lengtha truncation ” OK/maK of the integer ring of K. 1
Discrete Valuations Centered On Local Domains
 JOURNAL OF PURE AND APPLIED ALGEBRA
"... We study applications of discrete valuations to ideals in analytically irreducible domains, in particular applications to zero divisors modulo powers of ideals. We prove a uniform version of Izumi's theorem and calculate several examples illustrating it, such as for rational singularities. The ..."
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Cited by 12 (1 self)
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We study applications of discrete valuations to ideals in analytically irreducible domains, in particular applications to zero divisors modulo powers of ideals. We prove a uniform version of Izumi's theorem and calculate several examples illustrating it, such as for rational singularities
Monomial discrete valuations in k[[X]]
, 2003
"... [2, 3] prove that all the rank one discrete valuations of k((X1, X2)), centered in the ring k[X1, X2], come from the usual order function, i.e. there exists a finite number of transformations such that we obtain a new field k((Y1, Y2)) where the lifting of v is a monomial valuation given by v(Y1) = ..."
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[2, 3] prove that all the rank one discrete valuations of k((X1, X2)), centered in the ring k[X1, X2], come from the usual order function, i.e. there exists a finite number of transformations such that we obtain a new field k((Y1, Y2)) where the lifting of v is a monomial valuation given by v(Y1
KEY WORDS: Group schemes and discrete valuation rings.
, 2004
"... On two theorems for flat, affine group schemes over a discrete valuation ring ..."
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On two theorems for flat, affine group schemes over a discrete valuation ring
A Discrete Valuation of Swing Options
 Canadian Applied Mathematics Quarterly
"... Abstract. A discrete forest methodology is developed for swing options as a dynamically coupled system of European options. Numerical implementation is fully developed for one and twofactor, meanreverting, underlying processes, with application to energy markets. Convergence is established via f ..."
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Cited by 11 (0 self)
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Abstract. A discrete forest methodology is developed for swing options as a dynamically coupled system of European options. Numerical implementation is fully developed for one and twofactor, meanreverting, underlying processes, with application to energy markets. Convergence is established via
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