scholarly journals The embedding problem in iteration theory

2014 ◽  
Vol 46 ◽  
pp. 86-97 ◽  
Author(s):  
Marek Cezary Zdun
Keyword(s):  
Embedding Problem ◽  
Iteration Theory

scholarly journals Eri Jabotinsky, mathematician and politician: a short biography

2021 ◽  
Author(s):  
Detlef Gronau
Keyword(s):  
Complete List ◽  
Iteration Theory ◽  
Short Biography ◽  
Zionist Movement

AbstractDespite the fact that Eri Jabotinsky (1910–1969) published only few (i.e. fourteen) mathematical papers, some of them had a remarkable influence in iteration theory. But also his life was remakable. Eri was the son of the famous Zionist Revisionist leader Vladimir Ze’ev Jabotinsky. Eri Jabotinsky was active in the Zionist movement and later as parlamentarian in the Knesset. Here we give an outline of his live and a complete list of his publications.

scholarly journals On the embedding problem for $2^+S_4$ representations

2007 ◽  
Vol 76 (260) ◽  
pp. 2063-2076
Author(s):  
Ariel Pacetti
Keyword(s):  
Embedding Problem

Dagger extension theorem

2011 ◽  
Vol 21 (5) ◽  
pp. 1035-1066 ◽  
Author(s):  
Z. ÉSIK ◽  
T. HAJGATÓ
Keyword(s):  
Unique Solution ◽  
Extension Theorem ◽  
Sufficient Condition ◽  
Iteration Theory ◽  
Additive Structure ◽  
Algebraic Theories ◽  
Constant Morphism

Partial iterative theories are algebraic theories such that for certain morphisms f the equation ξ = f ⋅ 〈ξ, 1p〉 has a unique solution. Iteration theories are algebraic theories satisfying a certain set of identities. We investigate some similarities between partial iterative theories and iteration theories.In our main result, we give a sufficient condition ensuring that the partially defined dagger operation of a partial iterative theory can be extended to a totally defined operation so that the resulting theory becomes an iteration theory. We show that this general extension theorem can be instantiated to prove that every Elgot iterative theory with at least one constant morphism 1 → 0 can be extended to an iteration theory. We also apply our main result to theories equipped with an additive structure.

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