Results 31 to 40 of about 9,880 (202)
LINKAGE AND DUALITY OF MODULES
, 2009 Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
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Challenges in Computational Commutative Algebra [PDF]
, 2006 In this paper we consider a number of challenges from the point of view of the CoCoA project one of whose tasks is to develop software specialized for computations in commutative algebra.
ABBOTT, JOHN ANTHONY
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A Commutative Algebra for Oriented Matroids [PDF]
Discrete & Computational Geometry, 2002 Let \({\mathcal A}\) be an arrangement of hyperplanes in \({\mathbb R}^\ell\), with linear defining forms \(\{\phi_1,\dots,\phi_n\}\). In his work on cohomology of local systems, \textit{K. Aomoto} introduced the algebra \(AO({\mathcal A})\) of rational forms generated by \((\phi_{i_1}\cdots \phi_{i_k})^{-1}\) where \(\{i_1,\dots,i_k\}\) ranges over ...
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Aggregation and the Structure of Value
Noûs, EarlyView.ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
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The Hafnian and a Commutative Analogue of the Grassmann Algebra
, 2018 A close relationship between the determinant, the pfaffian, and the Grassmann algebra is well-known. In this paper, a similar relation between the permanent, the hafnian, and a commutative analogue of the Grassmann algebra is described. Using the latter,
Efimov, Dmitry
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On $A$-Convex Norms on Commutative Algebras
Rocky Mountain Journal of Mathematics, 2010 Let \(A\) be a commutative complex algebra, \(\|\;\|\) a norm on \(A\) (which is not assumed to be an algebra norm) and \(\|a\|_{op}\) the operator semi-norm of \(a\), that is, \[ \|a\|_{op}=\sup _{\|b\|\leqslant 1}\|ab\|\;\;\text{for\;each}\;a\in A. \] Moreover, let \[ m(\|\;\|)=\sup _{\|b\|\leqslant 1}\|b\|_{op}\;\;\text{and}\;\;r(\|\;\|)=\sup _{\|b\|
Arhippainen Jorma Eemil +1 more
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The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
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Fitting ideals and module structure [PDF]
, 2002 Let R be a commutative ring with a 1. Original work by H. Fitting showed how we can associate to each finitely generated E-module a unique sequence of R-ideals, which are known as Fitting Ideals. The aim of this thesis is to undertake an investigation of
Grime, Peter John
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Commutator Leavitt Path Algebras [PDF]
Algebras and Representation Theory, 2012 For any field K and directed graph E, we completely describe the elements of the Leavitt path algebra L_K(E) which lie in the commutator subspace [L_K(E),L_K(E)]. We then use this result to classify all Leavitt path algebras L_K(E) that satisfy L_K(E)=[L_K(E),L_K(E)].
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Analytic Philosophy, EarlyView.ABSTRACT Laws play some role in explanations: at the very least, they somehow connect what is explained, or the explanandum, to what explains, or the explanans. Thus, thermodynamical laws connect the match's being struck and its lightning, so that the former causes the latter; and laws about set formation connect Socrates' existence with {Socrates}'s ...
Julio De Rizzo
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