Buscar
Mostrando ítems 1-10 de 89
The structure of smooth algebras in Kapranov's framework for noncommutative geometry
(Academic Press Inc Elsevier Science, 2004-11)
In Kapranov, M. Noncommutative geometry based on commutator expansions, J. reine angew. Math 505 (1998) 73-118, a theory of noncommutative algebraic varieties was proposed. Here we prove a structure theorem for the ...
The Toeplitz algebra on the Bergman space coincides with its commutator ideal
(Theta Foundation, 2004-12)
Let L^2-a be the Bergman space of the unit disk and T(L^2_a) be the Banach algebra generated by Toeplitz operators T_f , with f ∈ L∞. We prove that the closed bilateral ideal of T(L2a) generated by operators of the form ...
Equivalence between varieties of square root rings and Boolean algebras with a distinguished automorphism
(Academic Press Inc Elsevier Science, 2006-05)
In this paper we study the variety R2 of square root rings, that is, commutative rings with unit, of characteristic two, with the square root as an additional operation. We prove that this variety is generated by the finite ...
Evolution of quantum observables: from non-commutativity to commutativity
(Springer, 2020-07)
A fundamental aspect of the quantum-to-classical limit is the transition from a non-commutative algebra of observables to commutative one. However, this transition is not possible if we only consider unitary evolutions. ...
States in generalized probabilistic models: An approach based in algebraic geometry
(De Gruyter, 2019-06)
We present a characterization of states in generalized probabilistic models by appealing to a non-commutative version of geometric probability theory based on algebraic geometry techniques. Our theoretical framework allows ...
The Lie algebra of derivations of a current Lie algebra
(Taylor & Francis, 2019-09)
Let K be a field of characteristic zero, g be a finite dimensional K-Lie algebra and let A be a finite dimensional associative and commutative K-algebra with unit. We describe the structure of the Lie algebra of derivations ...
Nilpotency of commutative finitely generated algebras satisfying l-x(3) + gamma l-x(3)=0, gamma=1, 0JOURNAL OF ALGEBRAJ ALGEBRA
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)