The Basic Algebraic Structures

2016 ◽  
pp. 381-404
Keyword(s):  
Algebraic Structures

Some Fixpoint Techniques in Algebraic Structures and Applications to Computer Science

1987 ◽  
Vol 10 (4) ◽  
pp. 387-413
Author(s):  
Irène Guessarian
Keyword(s):  
Logic Programming ◽  
Computer Science ◽  
Proof Theory ◽  
Algebraic Structures ◽  
Data Bases

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.

scholarly journals LAUGHLIN STATES ON THE SPHERE AS REPRESENTATIONS OF ${\mathcal U}_q({\rm sl}2))$

1995 ◽  
Vol 10 (11) ◽  
pp. 853-858 ◽  
Author(s):  
NARUHIKO AIZAWA ◽  
SEBASTIAN SACHSE ◽  
HARU-TADA SATO
Keyword(s):  
Deformation Parameter ◽  
Magnetic Monopole ◽  
Filling Ratio ◽  
Algebraic Structures ◽  
Laughlin States

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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