scholarly journals Duality in Non-Abelian Algebra IV. Duality for groups and a universal isomorphism theorem

2019 ◽  
Vol 349 ◽  
pp. 781-812
Author(s):  
Amartya Goswami ◽  
Zurab Janelidze
Keyword(s):  
Isomorphism Theorem ◽  
Abelian Algebra

scholarly journals INFINITARY PROPOSITIONAL RELEVANT LANGUAGES WITH ABSURDITY

2017 ◽  
Vol 10 (4) ◽  
pp. 663-681
Author(s):  
GUILLERMO BADIA
Keyword(s):  
Expressive Power ◽  
Interpolation Theorem ◽  
Boolean Logic ◽  
Isomorphism Theorem ◽  
Strong Completeness ◽  
Lack Of Compactness ◽  
Relevant Logics ◽  
Beth Definability ◽  
Beth Definability Property

AbstractAnalogues of Scott’s isomorphism theorem, Karp’s theorem as well as results on lack of compactness and strong completeness are established for infinitary propositional relevant logics. An “interpolation theorem” (of a particular sort introduced by Barwise and van Benthem) for the infinitary quantificational boolean logic L∞ω holds. This yields a preservation result characterizing the expressive power of infinitary relevant languages with absurdity using the model-theoretic relation of relevant directed bisimulation as well as a Beth definability property.

The relative isomorphism theorem for Bernoulli flows

1981 ◽  
Vol 40 (3-4) ◽  
pp. 197-216 ◽  
Author(s):  
Adam Fieldsteel
Keyword(s):  
Isomorphism Theorem

COMPOSITION SERIES OF THE SOLVABLE ABELIAN FACTOR GROUP SOURCE OF EQUATION OF ALL POLYNOMIAL EQUATIONS

2021 ◽  
Vol 5 (2) ◽  
pp. 462-469
Author(s):  
Bernard Alechenu ◽  
Babayo Muhammed Abdullahi ◽  
Daniel Eneojo Emmanuel
Keyword(s):  
Abelian Group ◽  
Complex Analysis ◽  
Factor Group ◽  
Roots Of Unity ◽  
Composition Series ◽  
Isomorphism Theorem ◽  
Polynomial Equations ◽  
Canonical Map ◽  
The Third ◽  
Recursive Set

This work penciled down the Composition Series of Factor Abelian Group over the source of all polynomial equations gleaned through  the nth roots of unity regular gons on a unit circle, a circle of radius one and centered at zero. To get the composition series, the third isomorphism theorem has to be passed through. But, the third isomorphism theorem itself gleaned via the first which is a deduction of the naturally existing canonical map. The solution of the source atom of the equation of all equation of polynomials are solvable by the intertwine of the Euler’s Formula and the De Moivre’s Theorem which after the inter-math, they become within the domain of complex analysis. For the source root of the equations, there is a recursive set of homomorphisms and ontoness of the mappings geneting the sequential terms in the composition series.    

scholarly journals On the constructions of Tits and Faulkner: an isomorphism theorem

2001 ◽  
Vol 28 (11) ◽  
pp. 673-678
Author(s):  
Sudhir R. Nath
Keyword(s):  
Jordan Algebra ◽  
Classification Theory ◽  
Closed Field ◽  
Isomorphism Theorem ◽  
Algebraically Closed Field ◽  
Split Octonions

Classification theory guarantees the existence of an isomorphism between any twoE8's, at least over an algebraically closed field of characteristic0. The purpose of this paper is to construct for any Jordan algebraJof degree3over a fieldΦof characteristic≠2,3an explicit isomorphism between the algebra obtained fromJby Faulkner's construction and the algebra obtained from the split octonions andJby Tits construction.

scholarly journals Introduction to NeutroRings

2020 ◽  
pp. 62-73
Author(s):  
Agboola A.A A.A.A ◽  
Keyword(s):  
Isomorphism Theorem

The objective of this paper is to introduce the concept of NeutroRings by considering three NeutroAxioms (NeutroAbelianGroup (additive), NeutroSemigroup (multiplicative) and NeutroDistributivity (multiplication over addition)). Several interesting results and examples on NeutroRings, NeutroSubgrings, NeutroIdeals, NeutroQuotientRings and NeutroRingHomomorphisms are presented. It is shown that the 1st isomorphism theorem of the classical rings holds in the class of NeutroRings.

On Whitney's 2-isomorphism theorem for graphs

1980 ◽  
Vol 4 (1) ◽  
pp. 43-49 ◽  
Author(s):  
K. Truemper
Keyword(s):  
Isomorphism Theorem
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