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The set of integers forms a commutative ring whose elements admit a unique decomposition into primes.
In this folder three lecture notes are bound, concerning topics, developed by dropping or replacing special properties of this most natural and most special ring. For short: investigated are groupoids w.r.t the interplay of multiplication - on the one hand - and divisibility, ideal decomposition and residuation, respectively, on the other hand.
@book{urn:nbn:de:hebis:34-2015021047355, author ={Bosbach, Bruno}, title ={Topics of divisibility}, keywords ={510 and Mathematik and Division}, copyright ={https://rightsstatements.org/page/InC/1.0/}, language ={en}, year ={2015-02-10} }