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Creator-annihilator domains and the number operator
Creator-annihilator domains the number operator Functional Analysis
2012/4/23
We show that for the bosonic Fock representation in infinite dimensions, the maximal common domain of all creators and annihilators properly contains the domain of the square-root of the number operat...
Posner´s Second Theorem and an Annihilator Condition with Generalized Derivations
Prime rings derivations left Utumi quotient rings two-sided Martindale quotient ring differential identities
2010/2/25
Let R be a prime ring of characteristic different from 2, with extended centroid C, U its two-sided Utumi quotient ring, d\neq 0 a non-zero generalized derivation of R, f(x1,..,xn) a non-central multi...
Rickart-type Annihilator Conditions on Formal Power Series
Annihilator conditions Nearrings Skew power series Baer rings a-rigid rings Rickart rings
2010/2/25
Let R be an a-rigid ring and R0[[x;a]] be the nearring of a formal skew power series in which addition and substitution are used as operations. It is shown that R is Rickart and any countable family o...