Valuations and group algebras

Ulrich Albrecht; Günter Törner

Rendiconti del Seminario Matematico della Università di Padova (1998)

  • Volume: 100, page 67-79
  • ISSN: 0041-8994

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Albrecht, Ulrich, and Törner, Günter. "Valuations and group algebras." Rendiconti del Seminario Matematico della Università di Padova 100 (1998): 67-79. <http://eudml.org/doc/108464>.

@article{Albrecht1998,
author = {Albrecht, Ulrich, Törner, Günter},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {group algebras; crossed products; left ordered groups; localizations of group rings; unique product groups},
language = {eng},
pages = {67-79},
publisher = {Seminario Matematico of the University of Padua},
title = {Valuations and group algebras},
url = {http://eudml.org/doc/108464},
volume = {100},
year = {1998},
}

TY - JOUR
AU - Albrecht, Ulrich
AU - Törner, Günter
TI - Valuations and group algebras
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1998
PB - Seminario Matematico of the University of Padua
VL - 100
SP - 67
EP - 79
LA - eng
KW - group algebras; crossed products; left ordered groups; localizations of group rings; unique product groups
UR - http://eudml.org/doc/108464
ER -

References

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  1. [1] U. Albrecht - G. Törner, Group rings and generalized valuations, Comm. Algebra, 18 (1984), pp. 2243-2272. Zbl0539.16007MR747226
  2. [2] C. Bessenrodt - H. Brungs - G. Törner, Right chain rings, Part 1, 2a, 2b, Preprint, Duisburg. 
  3. [3] G. Bastus - T. Viswanathan, Torsion-free abelian groups, valuations and twisted group-rings, Can. Math. Bull., 2 (1988), pp. 139-146. Zbl0656.20061MR942063
  4. [4] P. Conrad, Right ordered-groups, Mich. Math. J., 6 (1959), pp. 267-275. Zbl0099.01703MR106954
  5. [5] N.I. Dubrovnin, The rational closure of group rings of left orderable groups, Mat. USSR Sbornik, 184 (7) (1993), pp. 3-48. Zbl0828.16028
  6. [6] K. Goodearl, Ring Theory, Marcel Dekker, Basel, New York (1976). Zbl0336.16001MR429962
  7. [7] A.I. Malcev, The embedding of group algebras into division algebras, Doklady Nauk USSR, 60 (1948) (9), pp. 1499-1501. MR25457
  8. [8] K. Mathiak, Bewertungen nicht kommutativer Körper, J. Algebra, 48 (1977), pp. 217-235. Zbl0417.16006MR485810
  9. [9] B. Neumann, On ordered division rings, Trans. Amer. Math. Soc., 66, 2 (1949), pp. 202-252. Zbl0035.30401MR32593
  10. [10] Passmann, TheAlgebraic Structure of Group Rings, RobertKrieger, Malabar (1985). 

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