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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
The Divisibility Relation in Rings
 Ketner, Michal ; Švejdar, Vítězslav (advisor) ; Honzík, Radek (referee)
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 demonstrate wea- kening of generalization, that provides more effective tools. The thesis is prepared for all those interested in mathematics who want to get an insight into the theory of divisibility, so we build the theory from the beginning and compare it with division on integers. 1
Detailed record
The Divisibility Relation in Rings
 Ketner, Michal ; Švejdar, Vítězslav (advisor) ; Arazim, Pavel (referee)
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 demonstrate wea- kening of generalization, that provides more effective tools. The thesis is prepared for all those interested in mathematics who want to get an insight into the theory of divisibility, so we build the theory from the beginning and compare it with division on integers. 1
Detailed record

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