Results 41 to 50 of about 234,678 (87)
Necessary and Sufficient Condition for a Set of Matrices to Commute [PDF]
arXiv, 2009 The necessary and suffcient condition for a set of matrices to commute is given and proven.
arxiv
Commutative Algebra and its Applications, pages 79-88, 2009, 2008 This paper deals with Bouvier's conjecture which sustains that finite-dimensional non-Noetherian Krull domains need not be ...
arxiv
On the $h$-vector of ($S_r$) simplicial complexes [PDF]
arXiv, 2017 We give a negative answer to a question proposed in [3], regarding the $h$-vector of ($S_r$) simplicial complexes.
arxiv
Normalisation of a Poisson algebra is Poisson [PDF]
arXiv, 2003 We prove that the integral closure of a Poisson algebra $A$ over a field of characteristic 0 is again a Poisson algebra.
arxiv
The commutator algebra of a nilpotent matrix and an application to the theory of commutative Artinian algebras [PDF]
Journal of Algebra 319 (2008) 2545-2570, 2012 We show a number of properties of the commutator algebra of a nilpotent matrix over a field. In particular we determine the simple modules of the commutator algebra. Then the results are applied to prove that certain Artinian complete intersections have the strong Lefscehtz property.
arxiv
Connection between commutative algebra and topology [PDF]
arXiv, 2015 The main aim of this paper to show how commutative algebra is connected to topology. We give underlying topological idea of some results on completable unimodular rows.
arxiv
Eisenstein's Irreducibility Criterion for Polynomials over Semirings
, 2018 In this short note, we generalize Eisenstein's irreducibility criterion for semirings.Comment: A small typo ...
Nasehpour, Peyman
core
The Hilbert series of algebras of Veronese type [PDF]
arXiv, 2004 This paper gives a fairly explicit formula for the Hilbert series of algebras of Veronese type.
arxiv