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1	Atstumai tarp aritmetinių skirstinių / Distances between arithmetical distributions Paunksnytė, Evelina 02 July 2014 (has links) Darbe nagrinėjamos sveikareikšmės stipriai adityvios funkcijos, jų sekos bei pasiskirstymai. Pagrindinis rezultatas yra nustatyti, ar esant tam tikroms sąlygoms, atstumas tarp apibrėžtų skirstinių artėja į 0, kai x neaprėžtai auga. / Integer – valued strongly additive functions, their sequences and distributions are studied in this paper. The main result is to find out if having some conditions the distance between defined distributions vanishes while x tends to infinity. Stipriai adityvios funkcijos Atstumai tarp skirstinių
2	Stipriai pirminiai moduliai virš žiedų / Strongly prime modules over rings Bandalevičiūtė, Marijana 23 June 2005 (has links) The purpose of this work is to analyse the analogue of prime modules in commutative case – strongly prime modules over rings in non-commutative case. Strongly prime modules over rings, two-sided and one-sided strongly prime ideals in the rings are examined in the work. Concepts and theorems related to this topic are analysed in the paper. These problems are solved: • Taking the homomorphism of the ring R into ring of endomorphisms of the Abelian group we get all the modules over the ring R. • Annihilators of the nonzero elements of the module over commutative ring coincide and are the prime ideal. • In non-commutative case module is strongly prime only in the case when annihilators its nonzero elements are equivalent. • Finite Cartesian product of strongly prime modules, in which annihilators of the nonzero elements are equivalent, is a strongly prime module. Mathematics Kvaziinjektyvus modulis virš žiedo R Pomodulio esminis plėtinys Stipriai pirminis modulis Annihiliator Homomorphism of the ring R Modulio plėtinys Strongly prime modules over rings Pomodulis Žiedas Žiedų homomorfizmas Ring Žiedo R modulio injektyvus apvalkalas Kairiųjų R-modulių homomorfizmas Idealas Ideal Anuliatorius Faktormodulis Modules

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Atstumai tarp aritmetinių skirstinių / Distances between arithmetical distributions

Stipriai pirminiai moduliai virš žiedų / Strongly prime modules over rings