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Generalized Maximal Orders
, 2009
"... Maximal Orders over an algebra are a generalization of the concept of a Dedekind domain. The de nition given in Maximal Orders by Reiner, [11], assumes that the eld over which the algebra is de ned is in the center of the order. Since we want to de ne maximal orders over a Crystalline Graded Ring (d ..."
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Maximal Orders over an algebra are a generalization of the concept of a Dedekind domain. The de nition given in Maximal Orders by Reiner, [11], assumes that the eld over which the algebra is de ned is in the center of the order. Since we want to de ne maximal orders over a Crystalline Graded Ring
On the existence of maximal orders
 10617, and NCTS (Taipei Office) Email address: chiafu@math.sinica.edu.tw
"... ar ..."
MAXIMAL ORDERS IN SEMIGROUPS1
"... Inspired by the ring theory concepts of orders and classical rings of quotients, Fountain and Petrich introduced the notion of a completely 0simple semigroup of quotients in [19]. This was generalised to a much wider class of semigroups by Gould in [20]. The notion extends the well known concept of ..."
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Inspired by the ring theory concepts of orders and classical rings of quotients, Fountain and Petrich introduced the notion of a completely 0simple semigroup of quotients in [19]. This was generalised to a much wider class of semigroups by Gould in [20]. The notion extends the well known concept
Maximal Orders of Quadratic Fields
"... It is well known that the cubic equation x3 + y3 + z3 = 0 has only trivial solutions in rational integers, but it is less well known that it may have nontrivial solutions in algebraic integers. The question of finding solutions in quadratic algebraic integers was considered by Fueter (1913) and s ..."
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It is well known that the cubic equation x3 + y3 + z3 = 0 has only trivial solutions in rational integers, but it is less well known that it may have nontrivial solutions in algebraic integers. The question of finding solutions in quadratic algebraic integers was considered by Fueter (1913) and successively by many others, practically settling the problem. Adopting an approach that is mainly elementary, specific forms of the putative solutions in the ring of a quadratic field F are given, which depend on the splitting of 3 in F. Furthermore, as a direct consequence of a result of Aigner’s, conditions characterizing quadratic fields in which the cubic is solvable, or unsolvable, are presented.
Maximal order of multipoint iterations using n evaluations, in
 J.F. Traub (Ed.), Analytic Computational Complexity
, 1976
"... Maximal order of multipoint iterations using n evaluations ..."
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Cited by 3 (1 self)
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Maximal order of multipoint iterations using n evaluations
Binary trees and (maximal) order types
"... Abstract. Concerning the set of rooted binary trees, one shows that Higman’s Lemma and Dershowitz’s recursive path ordering can be used for the decision of its maximal order type according to the homeomorphic embedding relation as well as of the order type according to its canonical linearization, w ..."
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Abstract. Concerning the set of rooted binary trees, one shows that Higman’s Lemma and Dershowitz’s recursive path ordering can be used for the decision of its maximal order type according to the homeomorphic embedding relation as well as of the order type according to its canonical linearization
MOMS: MaximalOrder Interpolation of Minimal Support
 IEEE Trans. Image Process
, 2001
"... We consider the problem of interpolating a signal using a linear combination of shifted versions of a compactlysupported basis function ( ). We first give the expression of the 's that have minimal support for a given accuracy (also known as "approximation order"). This class of func ..."
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Cited by 74 (28 self)
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of functions, which we call maximal orderminimalsupport functions (MOMS) is made of linear combinations of the Bspline of same order and of its derivatives.
Monoids of IGtype and maximal orders
 J. ALGEBRA
, 2006
"... Let G be a finite group that acts on an abelian monoid A. If φ: A → G is a map so that φ(aφ(a)(b)) = φ(a)φ(b), for all a, b ∈ A, then the submonoid S = {(a, φ(a))  a ∈ A} of the associated semidirect product A⋊G is said to be a monoid of IGtype. If A is a finitely generated free abelian monoid o ..."
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Cited by 5 (3 self)
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is torsionfree then it is characterized when K[S] also is a maximal order. It turns out that they often are, and hence these algebras again share arithmetical properties with natural classes of commutative algebras. The characterization is in terms of prime ideals of S, in particular Gorbits of minimal
Results 1  10
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