caa a22 4500 445868945 CHVBK 20180317145506.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00605-010-0233-9 doi (NATIONALLICENCE)springer-10.1007/s00605-010-0233-9 Maszczyk Tomasz Institute of Mathematics, University of Warsaw, Banacha 2, 02-097, Warszawa, Poland aut Division with remainder in algebras with valuation [Elektronische Daten] [Tomasz Maszczyk] To any integral algebra with valuation an abelian group is associated, which measures how much the uniqueness of the division with remainder is violated. The analogy with the divisor class group is discussed. Examples of such groups are computed in cases of formal local rings of some cusps on an algebraic curve. The Author(s), 2010 Valuations nationallicence Weierstrass Division Theorem nationallicence Singularities nationallicence Monatshefte für Mathematik Springer Vienna 164/2(2011-10-01), 183-199 0026-9255 164:2<183 2011 164 605 https://doi.org/10.1007/s00605-010-0233-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-010-0233-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Maszczyk Tomasz Institute of Mathematics, University of Warsaw, Banacha 2, 02-097, Warszawa, Poland aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 164/2(2011-10-01), 183-199 0026-9255 164:2<183 2011 164 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer