Results 41 to 50 of about 98,002 (213)
, 2020 Let T = T (n1,n2, · · · ,nk) ⊆ Mn(C ) be a block upper triangular matrix algebra and let M be a 2-torsion free unital T -bimodule, where C is a commutative ring. Let Δ : T →M be a C -linear map. We show that if Δ(X)Y +XΔ(Y)+Δ(Y)X +YΔ(X) = 0 whenever X ,Y
H. Ghahramani +2 more
semanticscholar +1 more source
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
core
Local duality in algebra and topology [PDF]
Advances in Mathematics, 2015 The first goal of this paper is to provide an abstract framework in which to formulate and study local duality in various algebraic and topological contexts.
T. Barthel +2 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
wiley +1 more source
Mathematics, 2019 In this paper, we introduce the notions of generalized commutative laws in algebras, and investigate their relations by using Smarandache disjointness. Moreover, we show that every pre-commutative B C K -algebra is bounded.
H. Kim, J. Neggers, S. Ahn
semanticscholar +1 more source
The proof of properties of dihedral group and its commutative elements
Journal of Physics: Conference Series, 2020 In the field of abstract algebra, there is an important branch for the foundations of mathematics, namely group. The group is a non-empty set with some certain axioms. In the group, there is an interesting part, that is finite group. For the finite group
H. Muhammad, L. Susilowati, Fatmawati
semanticscholar +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Algebra, Geometry and Mathematical Physics Conference
, 2014 This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011.
Silvestrov, Sergei, +10 more
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source