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FullDiversity, HighRate SpaceTime Block Codes from Division Algebras
 IEEE TRANS. INFORM. THEORY
, 2003
"... We present some general techniques for constructing fullrank, minimaldelay, rate at least one spacetime block codes (STBCs) over a variety of signal sets for arbitrary number of transmit antennas using commutative division algebras (field extensions) as well as using noncommutative division algeb ..."
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Cited by 177 (55 self)
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's code is just a special case of the construction using representation over maximal cyclic subfields and we observe certain algebraic uniqueness characteristics of it. Also, we discuss a general principle for constructing cyclic division algebras using the th root of a transcendental element and study
UNIQUENESS OF CERTAIN BINOMIAL FACTORIZATIONS IN GROUP ALGEBRAS
"... Motivated by the study of cyclic resultants, we consider the problem of determining when two binomial factorizations of the form mY a (gi − hi), a ∈ Z, gi, hi ∈ G i=1 are equal in a group algebra ZG. A sufficient condition is given for a group to admit uniqueness of factorization up to natural equ ..."
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Motivated by the study of cyclic resultants, we consider the problem of determining when two binomial factorizations of the form mY a (gi − hi), a ∈ Z, gi, hi ∈ G i=1 are equal in a group algebra ZG. A sufficient condition is given for a group to admit uniqueness of factorization up to natural
Uniqueness of Certain Algebraic Laws on Cubic Curves
"... . An nary Steiner law f(x 1 ; x 2 ; \Delta \Delta \Delta ; x n ) on a projective curve \Gamma over an algebraically closed field k is a totally symmetric nary morphism f from \Gamma n to \Gamma satisfying the universal identity f(x 1 ; x 2 ; \Delta \Delta \Delta ; x n\Gamma1 ; f(x 1 ; x 2 ; \De ..."
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. An nary Steiner law f(x 1 ; x 2 ; \Delta \Delta \Delta ; x n ) on a projective curve \Gamma over an algebraically closed field k is a totally symmetric nary morphism f from \Gamma n to \Gamma satisfying the universal identity f(x 1 ; x 2 ; \Delta \Delta \Delta ; x n\Gamma1 ; f(x 1 ; x 2
A framework for opportunistic scheduling in wireless networks,”
 Computer Networks,
, 2003
"... AbstractScheduling has been extensively studied in various disciplines in operations research and wireline networking. However, the unique characteristics of wireless communication systems namely, timingvarying channel conditions and multiuser diversity means that new scheduling solutions need ..."
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Cited by 167 (8 self)
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AbstractScheduling has been extensively studied in various disciplines in operations research and wireline networking. However, the unique characteristics of wireless communication systems namely, timingvarying channel conditions and multiuser diversity means that new scheduling solutions need
Unique Tensor Factorization of Algebras
, 1998
"... Tensor product decomposition of algebras is known to be nonunique in many cases. But, as will be shown here, an additively indecomposable, finitedimensional C algebra A has an essentially unique tensor factorization A = A 1\Omega \Delta \Delta \Delta\Omega A r into nontrivial,\Omega i ..."
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Cited by 1 (0 self)
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Tensor product decomposition of algebras is known to be nonunique in many cases. But, as will be shown here, an additively indecomposable, finitedimensional C algebra A has an essentially unique tensor factorization A = A 1\Omega \Delta \Delta \Delta\Omega A r into non
ON THE LOCAL FINITENESS OF CERTAIN ALGEBRAS
"... Throughout A will always be an algebra over a field F and B a subalgebra of A.We say that the extension A/B is nalgebraic if for each a C A there exists a nonzero polynomial fit) in Fit] with no free term and of degree at most n such that f(a) C B. On the basis of the solution of Kurosh's weak ..."
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's weak problem (namely, algebraic algebras of bounded degree are locally finite [4,6]), the following question was raised by Faith [ 2]: If A/B is nalgebraic and B is locally finite, is A locally finite? Arian'in [1] answered this question affirmatively under certain restrictions
ON UNIQUENESS OF CHARACTERISTIC CLASSES
, 2008
"... We give an axiomatic characterization of maps from algebraic Ktheory. The results apply to a class of maps from algebraic Ktheory to any suitable cohomology theory or to algebraic Ktheory, which includes all group morphisms. In particular, we obtain comparison theorems for the Chern character a ..."
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We give an axiomatic characterization of maps from algebraic Ktheory. The results apply to a class of maps from algebraic Ktheory to any suitable cohomology theory or to algebraic Ktheory, which includes all group morphisms. In particular, we obtain comparison theorems for the Chern character
Existence And Uniqueness Of Solutions Of Certain Systems Of Algebraic Equations With Off Diagonal Nonlinearity
, 1999
"... Using inverse positivity properties and Brouwer's fixed point theorem, we derive existence and uniqueness results for certain nonlinear systems of equations with off diagonal nonlinearity. The type of systems considered arises from stable finite volume discretizations of viscous nonlinear conse ..."
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Cited by 1 (1 self)
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Using inverse positivity properties and Brouwer's fixed point theorem, we derive existence and uniqueness results for certain nonlinear systems of equations with off diagonal nonlinearity. The type of systems considered arises from stable finite volume discretizations of viscous nonlinear
ON UNIQUENESS OF CHARACTERISTIC CLASSES
, 2006
"... Abstract. We give tools to compare different maps from algebraic Ktheory. The results apply in particular to group morphisms from Ktheory to any suitable cohomology theory or to Ktheory. In particular, we obtain a characterization of the Chern character and of the Adams operations on higher Kthe ..."
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Cited by 1 (1 self)
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Abstract. We give tools to compare different maps from algebraic Ktheory. The results apply in particular to group morphisms from Ktheory to any suitable cohomology theory or to Ktheory. In particular, we obtain a characterization of the Chern character and of the Adams operations on higher Ktheory.
CONDITIONS IMPLYING THE UNIQUENESS OF THE WEAK ∗TOPOLOGY ON CERTAIN GROUP ALGEBRAS
"... Abstract. We investigate possible preduals of the measure algebra M(G) of a locally compact group and the Fourier algebra A(G) of a separable compact group. Both of these algebras are canonically dual spaces and the canonical preduals make the multiplication separately weak ∗continuous so that thes ..."
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that these algebras are dual Banach algebras. In this paper we find additional conditions under which the preduals C0(G) of M(G) and C ∗ (G) of A(G) are uniquely determined. In both cases we consider a natural comultiplication and show that the canonical predual gives rise to the unique weak ∗topology making both
Results 1  10
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1,959