scholarly journals On connection between variational symmetries and algebraic structures

2021 ◽  
Vol 13 (1) ◽  
pp. 46-55
Author(s):  
Svetlana Aleksandrovna Budochkina





1987 ◽  
Vol 10 (4) ◽  
pp. 387-413
Author(s):  
Irène Guessarian

This paper recalls some fixpoint theorems in ordered algebraic structures and surveys some ways in which these theorems are applied in computer science. We describe via examples three main types of applications: in semantics and proof theory, in logic programming and in deductive data bases.



2003 ◽  
Vol 36 (4) ◽  
Author(s):  
Petr Emanovský
Keyword(s):  


2018 ◽  
Vol 24 (2) ◽  
pp. 175-183
Author(s):  
Jean-Claude Ndogmo

Abstract Variational and divergence symmetries are studied in this paper for the whole class of linear and nonlinear equations of maximal symmetry, and the associated first integrals are given in explicit form. All the main results obtained are formulated as theorems or conjectures for equations of a general order. A discussion of the existence of variational symmetries with respect to a different Lagrangian, which turns out to be the most common and most readily available one, is also carried out. This leads to significantly different results when compared with the former case of the transformed Lagrangian. The latter analysis also gives rise to more general results concerning the variational symmetry algebra of any linear or nonlinear equations.





1995 ◽  
Vol 10 (11) ◽  
pp. 853-858 ◽  
Author(s):  
NARUHIKO AIZAWA ◽  
SEBASTIAN SACHSE ◽  
HARU-TADA SATO

We discuss quantum algebraic structures of the systems of electrons or quasiparticles on a sphere on whose center a magnetic monopole is located. We verify that the deformation parameter is related to the filling ratio of the particles in each case.





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