Results 11 to 20 of about 1,101 (266)

Free bounded archimedean $$\ell $$-algebras [PDF]

open access: yesApplied Categorical Structures, 2021
We show that free objects on sets do not exist in the category $bal$ of bounded archimedean $\ell$-algebras. On the other hand, we introduce the category of weighted sets and prove that free objects on weighted sets do exist in $bal$. We conclude by discussing several consequences of this result.
Bezhanishvili G.   +2 more
openaire   +4 more sources

Free Brace Algebras are Free Pre-Lie Algebras [PDF]

open access: yesCommunications in Algebra, 2010
Comment: 10 pages. Final version, to be published in "Communications in Algebra"
openaire   +3 more sources

Free algebra structure: categorical algebras [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1970
One of the more important concepts in the study of universal algebras is that of a free algebra. It is our purpose in this communication to describe the structure of the free algebra Kk() of k generators (k a positive integer) determined by a categorical algebra, and to indicate how this information encompasses results in such diverse areas as the ...
openaire   +2 more sources

Acting Semicircular Elements Induced by Orthogonal Projections on Von-Neumann-Algebras

open access: yesMathematics, 2017
In this paper, we construct a free semicircular family induced by Z -many mutually-orthogonal projections, and construct Banach ∗-probability spaces ...
Ilwoo Cho
doaj   +1 more source

Certain Bounds of Formulas in Free Temporal Algebras

open access: yesAxioms, 2023
In this paper, we give a basic structure theorem based on the study of extreme cases for the value of ≺ (the classical precedence relation between ultrafilters), i.e., ≺=∅ and no isolated element in ≺.
Francisco Miguel García-Olmedo   +2 more
doaj   +1 more source

Towards free localic algebras [PDF]

open access: yesCategories and General Algebraic Structures with Applications
The purpose of this paper is to establish that the underlying objectfunctor from the models of a Lawvere theory to the base category creates limitsand coequalisers of all parallel pairs of homomorphisms whose underlying pairadmit a split coequaliser.
Nathan Tshakatumba   +2 more
doaj   +1 more source

General Ramified Recurrence is Sound for Polynomial Time [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2010
Leivant's ramified recurrence is one of the earliest examples of an implicit characterization of the polytime functions as a subalgebra of the primitive recursive functions.
Ugo Dal Lago   +2 more
doaj   +1 more source

Galilean free Lie algebras

open access: yesJournal of High Energy Physics, 2019
We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic objects and ...
Joaquim Gomis   +2 more
doaj   +1 more source

Decoherence-free algebra [PDF]

open access: yesPhysics Letters A, 2003
We consider the decoherence free subalgebra which satisfies the minimal condition introduced by Alicki. We show the manifest form of it and relate the subalgebra with the Kraus representation. The arguments also provides a new proof for generalized L ders theorem.
openaire   +2 more sources

Correspondences among CFTs with different W-algebra symmetry

open access: yesNuclear Physics B, 2020
W-algebras are constructed via quantum Hamiltonian reduction associated with a Lie algebra g and an sl(2)-embedding into g. We derive correspondences among correlation functions of theories having different W-algebras as symmetry algebras.
Thomas Creutzig   +3 more
doaj   +1 more source

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