The universality of Hughes-free division rings. (English) Zbl 1512.16023
Reviewer: Dolors Herbera (Barcelona)
Found 66 Documents (Results 1–66)
Free division rings of fractions of crossed products of groups with Conradian left-orders. (English) Zbl 1484.16030
Reviewer: Dolors Herbera (Barcelona)
Inverse Galois problem over the skew field of rational fractions with central indeterminate. (Le problème inverse de Galois sur les corps des fractions tordus à indéterminée centrale.) (French. English summary) Zbl 1480.12004
Reviewer: Lhoussain El Fadil (Fès)
Free structures in division rings. (English) Zbl 1348.16015
Reviewer: Ivan D. Chipchakov (Sofia)
The inversion height of the free field is infinite. (English) Zbl 1347.16017
Reviewer: Bui Xuan Hai (Ho Chi Minh City)
Explicit free groups in division rings. (English) Zbl 1317.16013
Reviewer: Ivan D. Chipchakov (Sofia)
On embedding left-ordered groups into division rings. (English) Zbl 1312.16015
Reviewer: Wolfgang Rump (Stuttgart)
Free fields in Malcev-Neumann series rings. (English) Zbl 1290.16017
Reviewer: Ivan D. Chipchakov (Sofia)
Noncommutative rational functions, their difference-differential calculus and realizations. (English) Zbl 1255.93073
Primes of Gauss extensions over crossed product algebras. (English) Zbl 1277.16015
Reviewer: Uzi Vishne (Ramat-Gan)
Skew fields. Theory of general division rings. Paperback reprint of the hardback edition 1995. (English) Zbl 1144.16002
Encyclopedia of Mathematics and its Applications 57. Cambridge: Cambridge University Press (ISBN 978-0-521-06294-7/pbk). xv, 500 p. (2008).
Localization in general rings, a historical survey. (English) Zbl 1125.16019
Ranicki, Andrew (ed.), Noncommutative localization in algebra and topology. Proceedings of the workshop, Edinburgh, UK, April 29–30, 2002. Cambridge: Cambridge University Press (ISBN 0-521-68160-X/pbk). London Mathematical Society Lecture Note Series 330, 5-23 (2006).
Reviewer: A. I. Kashu (Kishinev)
Embedding \(*\)-ordered domains into skew fields. (English) Zbl 1106.16019
Reviewer: Ivan D. Chipchakov (Sofia)
Some questions on skewfields. (English) Zbl 1097.16008
Giambruno, Antonio (ed.) et al., Groups, rings and group rings. Proceedings of the conference, Ubatuba, Brazil, July 26–31, 2004. In honor of the 60th birthday of Prof. César Polcino Milies. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-581-5/pbk). Lecture Notes in Pure and Applied Mathematics 248, 201-204 (2006).
Wreath products and subgroups of division rings. (English) Zbl 1116.16030
Reviewer: Hai Quang Dinh (Warren)
The 1966 Gelfand-Kirillov conjecture is true after finite extensions of skew fields. (English. Russian original) Zbl 1175.16017
Dokl. Math. 72, No. 3, 969-973 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 405, No. 6, 735-739 (2005).
Construction of algebraic extensions of Lie skew fields. (English. Russian original) Zbl 1175.16016
Dokl. Math. 72, No. 3, 954-958 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 405, No. 5, 604-608 (2005).
Finitely generated simple algebras: a question of B. I. Plotkin. (English) Zbl 1076.16016
Reviewer: Ivan D. Chipchakov (Sofia)
On a theorem of Ian Hughes about division rings of fractions. (English) Zbl 1084.16018
Reviewer: Inder Bir Singh Passi (Allahabad)
Non-commutative valuation rings of \(K(X;\sigma,\delta)\) over a division ring \(K\). (English) Zbl 1066.16051
Reviewer: Paul M. Cohn (London)
Invariant polynomials in the free skew field. (English) Zbl 0992.16016
Reviewer: Paul M.Cohn (London)
Valuation rings in Ore extensions. (English) Zbl 0970.16014
Reviewer: Paul M.Cohn (London)
Automorphisms of the skew field of rational quantum functions. (English. Russian original) Zbl 1021.16028
Sb. Math. 191, No. 12, 1749-1771 (2000); translation from Mat. Sb. 191, No. 12, 3-26 (2000).
Reviewer: Paul M.Cohn (London)
Isolated submodules and skew fields. (English) Zbl 0976.16002
Reviewer: Toma Albu (Bucureşti)
The Brauer group of the centers of generic division algebras. (English) Zbl 0977.16009
Boulagouaz, M’hammed (ed.) et al., Algebra and number theory. Proceedings of a conference, Fez, Morocco. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 208, 227-262 (2000).
Reviewer: Lindsay N.Childs (Albany)
The Brauer group of multiplicative invariant fields. (English) Zbl 0977.16008
Boulagouaz, M’hammed (ed.) et al., Algebra and number theory. Proceedings of a conference, Fez, Morocco. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 208, 207-225 (2000).
Tensor rings under field extensions. (English) Zbl 0965.16014
Reviewer: Paul M.Cohn (London)
Division rings generated by group rings and enveloping algebras. (English) Zbl 0978.16019
Bahturin, Yu. (ed.), Algebra. Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh, Moscow, Russia, May 25-30, 1998. Berlin: Walter de Gruyter. 227-236 (2000).
Reviewer: Paul M.Cohn (London)
General quantum polynomials. (English) Zbl 0969.16009
Bahturin, Yu. (ed.), Algebra. Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh, Moscow, Russia, May 25-30, 1998. Berlin: Walter de Gruyter. 35-48 (2000).
Reviewer: Kenneth R.Goodearl (Santa Barbara)
From Hermite rings to Sylvester domains. (English) Zbl 0949.16007
Reviewer: L.A.Bokut’ (Novosibirsk)
General quantum polynomials: irreducible modules and Morita equivalence. (English. Russian original) Zbl 0974.16019
Izv. Math. 63, No. 5, 847-880 (1999); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 4, 3-36 (1999).
Reviewer: Paul M.Cohn (London)
The skew field of rational quantum functions. (English. Russian original) Zbl 0976.16016
Russ. Math. Surv. 54, No. 4, 825-827 (1999); translation from Usp. Mat. Nauk 54, No. 4, 151-152 (1999).
Reviewer: Paul M.Cohn (London)
Associations and valuations. (English) Zbl 0984.20041
Reviewer: Paul M.Cohn (London)
A matrix problem over a discrete valuation ring. (English. Russian original) Zbl 0941.15014
Sb. Math. 190, No. 6, 835-858 (1999); translation from Mat. Sb. 190, No. 6, 59-82 (1999).
Reviewer: Manuel Ladra Gonzalez (Santiago)
Rings with comparability. (English) Zbl 0949.16030
Reviewer: Sergio R.López-Permouth (Athens)
A note on the structure of distributive rings. (English) Zbl 0896.16003
Reviewer: A.I.Kashu (Kishinev)
Quantum polynomial algebras. (English) Zbl 0927.16020
Reviewer: P.M.Cohn (London)
Noninvariant matrix valuations and their associated valued division rings. (English) Zbl 0902.16037
Reviewer: P.M.Cohn (London)
Invariants of Weyl skew fields under the action of finite groups. (Invariants du corps de Weyl sous l’action de groupes finis.) (French) Zbl 0886.16025
Reviewer: M.Lorenz (Philadelphia)
Discrete valuations on Weyl skew fields. (English) Zbl 0937.16050
Reviewer: T.H.Lenagan (Edinburgh)
An alternative proof for the extension theorem of matrix valuation. (English) Zbl 0869.12009
Reviewer: P.M.Cohn (London)
Free group algebras in certain division rings. (English) Zbl 0866.16011
Reviewer: L.G.Makar-Limanov (Detroit)
Discrete valuations extend to certain algebras of quantum type. (English) Zbl 0865.16031
Reviewer: C.Năstăsescu (Bucureşti)
Generalized rational identities of subnormal subgroups of skew fields. (English) Zbl 0859.16014
Reviewer: C.Lanski (Los Angeles)
Inversion height in free fields. (English) Zbl 0857.16021
Reviewer: P.M.Cohn (London)
Prime segments of skew fields. (English) Zbl 0849.16017
Reviewer: P.M.Cohn (London)
Valuation methods in division rings. (English) Zbl 0837.16019
Reviewer: P.M.Cohn (London)
Skew fields. Theory of general division rings. (English) Zbl 0840.16001
Encyclopedia of Mathematics and Its Applications. 57. Cambridge: Cambridge Univ. Press. xv, 500 p. (1995).
Reviewer: J.-P.Tignol (Louvain-La-Neuve)
Minimal fields containing the algebra of the free group on two generators. (Corps minimaux contenant l’algèbre du groupe libre à deux generateurs.) (French) Zbl 0822.16014
Reviewer: M.Lorenz (Philadelphia)
The skew field of rational functions on \(\text{GL}_ q(n,K)\). (English. Russian original) Zbl 0831.16022
Funct. Anal. Appl. 28, No. 2, 134-136 (1994); translation from Funkts. Anal. Prilozh. 28, No. 2, 75-77 (1994).
A normal form in free fields. (English) Zbl 0836.16012
Reviewer: Yu.N.Mal’tsev (Barnaul)
Erratum to the article: A family of infinite-dimensional non-selfextending bricks for wild hereditary algebras. (English) Zbl 0790.16012
Dlab, Vlastimil (ed.) et al., Representations of algebras. Proceedings of the sixth international conference on representations of algebras, Carleton University, Ottawa, Ontario, Canada, August 19-22, 1992. Providence, RI: American Mathematical Society. CMS Conf. Proc. 14, 477-478 (1993).
A brief history of infinite-dimensional skew fields. (English) Zbl 0787.16018
Reviewer: J.-P.Tignol (Louvain-La-Neuve)
Free subalgebras of enveloping fields. (English) Zbl 0719.16008
Reviewer: M.Lorenz (Philadelphia)
Centralisateurs dans les corps de Weyl. (Centralizers in the fields of Weyl). (French) Zbl 0606.16009
Reviewer: L.Makar-Limanov
Stratiform simple Artinian rings. (English) Zbl 0605.16010
Reviewer: G.Krause
On continued fractions over the ring of quaternions of a tetrahedron. (Russian) Zbl 0696.10026
Structural properties of algebraic systems, Thematic Interuniv. Collect., Nal’chik, 89-99 (1985).
Reviewer: Tonko Tonkov (Sofia)
On group rings of nilpotent groups. (English) Zbl 0556.16006
Reviewer: P.F.Smith
On free subobjects of skew fields. (English) Zbl 0539.16015
Methods in ring theory, Proc. NATO Adv. Study Inst., Antwerp/Belg. 1983, NATO ASI Ser., Ser. C 129, 281-285 (1984).
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