Results 21 to 30 of about 122,674 (274)

Free algebra structure: categorical algebras [PDF]

Bulletin 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

Free Monadic Tarski and MMI3-Algebras

Demonstratio Mathematica, 2014
MMI3-algebras are a generalization of the monadic Tarski algebras as defined by A. Monteiro and L. Iturrioz, and a particular case of the MMIn+1-algebras defined by A. Figallo.
Entizne Rosana V., Monteiro Luiz F., Savini Sonia M., Viglizzo Ignacio D.   +3 more
doaj   +1 more source

Free nonunitary Rota-Baxter family algebras and typed leaf-spaced decorated planar rooted forests

Open Mathematics, 2020
In this paper, we decorate leaves and edges of planar rooted forests simultaneously and use a part of them to construct free nonunitary Rota-Baxter family algebras. As a corollary, we obtain the construction of free nonunitary Rota-Baxter algebras.
Wang Jinwei, Zhang Yuanyuan, Zhu Zhicheng, Chen Dan   +3 more
doaj   +1 more source

Golod-Shafarevich algebras, free subalgebras and Noetherian images [PDF]

, 2012
It is shown that Golod-Shaferevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth.
Agata Smoktunowicz, Anick, Anick, Beidar, Bell, Bresar, Drensky, Golod, Golod, Iyudu, Kanel-Belov, Krause, Lam, Lenagan, Lenagan, Mikhail, Rowen, Small, Small, Wisliceny, Zelmanov, Zelmanov   +21 more
core   +4 more sources

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

Mathematics, 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

General Ramified Recurrence is Sound for Polynomial Time [PDF]

Electronic 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, Simone Martini, Margherita Zorzi   +2 more
doaj   +1 more source

Certain Bounds of Formulas in Free Temporal Algebras

Axioms, 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, Antonio Jesús Rodríguez-Salas, Pedro González-Rodelas   +2 more
doaj   +1 more source

The Algebras of Large N Matrix Mechanics [PDF]

, 1998
Extending early work, we formulate the large N matrix mechanics of general bosonic, fermionic and supersymmetric matrix models, including Matrix theory: The Hamiltonian framework of large N matrix mechanics provides a natural setting in which to study ...
Alfaro J., Banks T., C. SCHWARTZ, Gross D., Haan O., Halpern M. B., Halpern M. B., M. B. HALPERN, Pimsner M., Singer I. M., Ya I.   +10 more
core   +5 more sources

Towards free localic algebras [PDF]

Categories 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, Partha Pratim Ghosh, Inderasan Naidoo   +2 more
doaj   +1 more source

Galilean free Lie algebras

Journal 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, Axel Kleinschmidt, Jakob Palmkvist   +2 more
doaj   +1 more source