Reflexive and dihedral (co)homology of a pre-additive category
International Journal of Mathematics and Mathematical Sciences, 2001 The group dihedral homology of an algebra over a field with characteristic zero was introduced by Tsygan (1983). The dihedral homology and cohomology of an algebra with involution over commutative ring with identity, associated with the small category ...
Yasien Gh. Gouda
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On Marginal Automorphisms of Free Nilpotent Lie Algebras
Journal of Mathematics, 2020 Let L be the free nilpotent Lie algebra of finite rank over a field of characteristic zero. We define the concepts of marginal ideals and marginal automorphisms of L, and we give some results on marginal automorphisms.
Özge Öztekin
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SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS
Образование и наука, 2017 The aim of this article is to analyze the format of a two-leveled training – bachelor and master – future teachers of mathematics from the point of view of the content of mathematical material, which is to develop prospective teachers of mathematics at ...
V. I. Igoshin
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Zero Triple Product Determined Matrix Algebras
Journal of Applied Mathematics, 2012 Let A be an algebra over a commutative unital ring C. We say that A is zero triple product determined if for every C-module X and every trilinear map {⋅,⋅,⋅}, the following holds: if {x,y,z}=0 whenever xyz=0, then there exists a C-linear operator T:A3⟶X ...
Hongmei Yao, Baodong Zheng
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On Rees algebras and invariants for singularities over perfect fields [PDF]
, 2012 A. Bravo +2 more
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Noncommutative version of Borcherds' approach to quantum field theory
, 2014 Richard Borcherds proposed an elegant geometric version of renormalized perturbative quantum field theory in curved spacetimes, where Lagrangians are sections of a Hopf algebra bundle over a smooth manifold.
Brouder, Christian +2 more
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Discrete logarithm problem in finite dimensional algebras over field [PDF]
, 2014 Sergey Yu. Katyshev
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On the central value of Rankin $L$-functions for self-dual algebraic representations of linear groups over totally real fields [PDF]
, 2023 Laurent Clozel, Arno Kret
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Loop Quantum Gravity Vacuum with Nondegenerate Geometry
Symmetry, Integrability and Geometry: Methods and Applications, 2012 In loop quantum gravity, states of the gravitational field turn out to be excitations over a vacuum state that is sharply peaked on a degenerate spatial geometry.
Hanno Sahlmann, Tim Koslowski
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Conformal field theories associated to regular chiral vertex operator algebras I: theories over the projective line [PDF]
, 2002 Kiyokazu Nagatomo, Akihiro Tsuchiya
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