Results 11 to 20 of about 3,460 (267)

Onto extensions of free groups [PDF]

open access: yesGroups, Complexity, Cryptology, 2021
An extension of subgroups $H\leqslant K\leqslant F_A$ of the free group of rank $|A|=r\geqslant 2$ is called onto when, for every ambient free basis $A'$, the Stallings graph $\Gamma_{A'}(K)$ is a quotient of $\Gamma_{A'}(H)$.
Sebastià Mijares, Enric Ventura
doaj   +1 more source

Extension of Algebraic Theories [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
The algebraic theories of Lawvere are extended in a natural way to small complete categories. These categories exhibit not only the operations and identities, but some of the homomorphisms, functions, objects and constructions which are encountered when working within the algebraic categories associated with the theories.
Peake, E. J., Peters, G. R.
openaire   +1 more source

On extensions of Cayley algebras [PDF]

open access: yesProceedings of the American Mathematical Society, 1966
In this note the authors prove the following theorem: Let \(A\) be an alternative algebra over \(F\) and \(B\) any subalgebra with identity \(e\). Then consider the following conditions. (i) There exists \(x, y\in B\), \(\alpha\in F\) such that \(e = \alpha(x, y)^4\), where \((x, y) = xy - yx\).
Humm, Margaret M., Kleinfeld, Erwin
openaire   +2 more sources

On extensions of superconformal algebras [PDF]

open access: yesJournal of Mathematical Physics, 2005
Starting from vector fields that preserve a differential form on a Riemann sphere with Grassmann variables, one can construct a superconformal algebra by considering central extensions of the algebra of vector fields. In this paper, the N=4 case is analyzed closely, where the presence of weight zero operators in the field theory forces the introduction
openaire   +3 more sources

Extensions of associative algebras [PDF]

open access: yesCommunications in Contemporary Mathematics, 2014
In this paper, we translate the problem of extending an associative algebra by another associative algebra into the language of codifferentials. The authors have been constructing moduli spaces of algebras and studying their structure by constructing their versal deformations. The codifferential language is very useful for this purpose.
Fialowski, A., Penkava, M.
openaire   +4 more sources

Flat extensions in ∗-algebras

open access: yesProceedings of the American Mathematical Society, 2016
The main result of the paper is a flat extension theorem for positive linear functionals on ∗ *
Mourrain, Bernard, Schmüdgen, Konrad
openaire   +2 more sources

Some Implicational Semilinear Gaggle Logics: (Dual) Residuated-Connected Logics

open access: yesAxioms, 2022
Implicational partial Galois logics and some of their semilinear extensions, such as semilinear extensions satisfying abstract Galois and dual Galois connection properties, have been introduced together with their relational semantics.
Eunsuk Yang
doaj   +1 more source

Extensions of uniform algebras [PDF]

open access: yesBanach Journal of Mathematical Analysis, 2019
The theory of algebraic extensions of Banach algebras is well established, and there are many constructions which yield interesting extensions. In particular, Cole's method for extending uniform algebras by adding square roots of functions to a given uniform algebra has been used to solve many problems within uniform algebra theory.
openaire   +5 more sources

On the Krall-type polynomials

open access: yesJournal of Applied Mathematics, 2004
Using a general and simple algebraic approach, some results on Krall-type orthogonal polynomials and some of their extensions are obtained.
R. Álvarez-Nodarse   +2 more
doaj   +1 more source

Resonant superalgebras and N=1 supergravity theories in three spacetime dimensions

open access: yesPhysics Letters B, 2020
We explore N=1 supersymmetric extensions of algebras going beyond the Poincaré and AdS ones in three spacetime dimensions. Besides reproducing two known examples, we present new superalgebras, which all correspond to supersymmetric extensions with one ...
Patrick Concha   +2 more
doaj   +1 more source

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