Results 61 to 70 of about 405,321 (199)
Algebra of Fractions of Algebra with Conjugation [PDF]
arXiv, 2012 In the paper, I considered construction of algebra of fractions of algebra with conjugation. I also considered algebra of polynomials and algebra of rational mappings over algebra with conjugation.
arxiv
Seven Lectures on the Universal Algebraic Geometry [PDF]
arXiv, 2002 Some notions of algebraic geometry can be defined for arbitrary varieties of algebras. This leads to universal algebraic geometry. The main idea of the presented theory is to consider interactions between algebra, logic and geometry in algebras from a given variety of algebras.
arxiv
Derivations of certain algebras defined by étale descent [PDF]
arXiv, 2009 We give an explicit description of the Lie algebra of derivations for a class of infinite dimensional algebras which are given by \'etale descent. The algebras under consideration are twisted forms of central algebras over rings, and include the multiloop algebras that appear in the construction of extended affine Lie algebras.
arxiv
Hom-Maltsev, Hom-alternative, and Hom-Jordan algebras [PDF]
International Electronic Journal of Algebras 11 (2012) 177-217, 2010 Hom-Maltsev(-admissible) algebras are defined, and it is shown that Hom-alternative algebras are Hom-Maltsev-admissible. With a new definition of a Hom-Jordan algebra, it is shown that Hom-alternative algebras are Hom-Jordan-admissible. Hom-type generalizations of some well-known identities in alternative algebras, including the Moufang identities, are
arxiv
Topological field theories in 2 dimensions [PDF]
, 2010 22 pages, implemented the suggestion of the referee, to appear in the Proceedings of the 5-th ECM, Amsterdam (2008)
Thomas Nikolaus +3 more
openaire +31 more sources
Enveloping algebras of solvable Malcev algebras of dimension five [PDF]
arXiv, 2010 We study the universal enveloping algebras of the one-parameter family of solvable 5-dimensional non-Lie Malcev algebras. We explicitly determine the universal nonassociative enveloping algebras (in the sense of Perez-Izquierdo and Shestakov) and the centers of the universal enveloping algebras.
arxiv
Quantum Register Algebra: the mathematical language for quantum computing
, 2022 Jaroslav Hrdina +7 more
openalex +2 more sources
Non-commutative Hom-Poisson algebras [PDF]
arXiv, 2010 A Hom-type generalization of non-commutative Poisson algebras, called non-commutative Hom-Poisson algebras, are studied. They are closed under twisting by suitable self-maps. Hom-Poisson algebras, in which the Hom-associative product is commutative, are closed under tensor products.
arxiv
Hom-Novikov Algebras and Hom-Novikov-Poisson Algebras [PDF]
arXiv, 2012 The purpose of this paper is to study Hom-Novikov algebras and Hom-Novikov-Poisson algebras, both of which were defined by Yau. In the paper, we give several constructions leading us to some interesting examples of Hom-Novikov algebras and Hom-Novikov-Poisson algebras.
arxiv
On the Need for Fractal Logic in High Energy Quantum Physics
, 2012 Modern advances in pure mathematics and particularly in transfinite set theory have introduced into the fundamentals of theoretical physics many novel concepts and devices such as fractal quasi manifolds with non-integer (Hausdorff) dimension for its ...
M. Naschie +5 more
semanticscholar +1 more source