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Divisibility for talented students of secondary schools

open access: yes, 2014
This thesis is an educational text for high school students. It aims to teach them how to solve typical problems concerning divisibility found in mathematical correspondence seminars and mathematical olympiad.
Živčáková, Andrea
core  

Bases, positions and computations. [PDF]

open access: yesPhilos Trans R Soc Lond B Biol Sci
Chemla K.
europepmc   +1 more source

ALGEBRAIC DIVISIBILITY SEQUENCES OVER FUNCTION FIELDS

open access: yes, 2017
In this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields ...
MAHÉ, VALÉRY   +4 more
core  

The Divisibility Relation in Rings

open access: yes
This thesis aims to define a theory of divisibility for general integral domains. A hiear- chy of divisibility domains with properties to those of division on the integers is outlined. Chinese residue theorem is generalized by means of ideals in order to
Ketner, Michal
core  

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