eBook ISBN: | 978-0-8218-7775-3 |
Product Code: | CONM/184.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
eBook ISBN: | 978-0-8218-7775-3 |
Product Code: | CONM/184.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 184; 1995; 449 ppMSC: Primary 12; 16; 17; 18; 20
This book contains papers presented at the Second International Conference on Algebra, held in Barnaul in August 1991 in honor of the memory of A. I. Shirshov (1921–1981). Many of the results presented here have not been published elsewhere in the literature. The collection provides a panorama of current research in PI-, associative, Lie, and Jordan algebras and discusses the interrelations of these areas with geometry and physics. Other topics in group theory and homological algebra are also covered.
ReadershipPostgraduates and researchers in mathematics and physics.
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Table of Contents
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Articles
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L. A. Bokut′ and I. P. Shestakov — Some results by A. I. Shirshov and his school [ MR 1332269 ]
-
Eiichi Abe — Chevalley groups over commutative rings. Normal subgroups and automorphisms [ MR 1332270 ]
-
Ricardo Alfaro — Subring-Galois extensions and separability in noncommutative rings [ MR 1332271 ]
-
V. A. Artamonov — Hopf algebras with Engel condition [ MR 1332272 ]
-
K. I. Beĭdar and A. V. Mikhalëv — On topologization of rings with infinite lower Baer radical [ MR 1332273 ]
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V. A. Belonogov — A new method for calculating $p$-blocks [ MR 1332274 ]
-
Kenneth A. Brown and Martin Lorenz — Grothendieck groups and higher class groups of commutative invariants [ MR 1332275 ]
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John Clark — On the annihilators of powers of elements in a ring of bounded nilpotency index [ MR 1332276 ]
-
Tilak de Alwis — Betti numbers and free minimal resolutions [ MR 1332277 ]
-
Ralph DeMarr and Joseph Torres — Operator algebras as partially ordered linear algebras [ MR 1332278 ]
-
Alberto Elduque and Hyo Chul Myung — On mutations of Cayley-Dickson algebras [ MR 1332279 ]
-
M. D. Friger — Torsion-free rings: Some results on automorphisms and endomorphisms
-
C. K. Gupta — Lifting primitivity of certain relatively free groups [ MR 1332282 ]
-
Narain Gupta — Dimension subgroups: some recent developments [ MR 1332283 ]
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Michel Hacque — New Galoisian and nonabelian cohomology for skew fields and applications [ MR 1332284 ]
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Marcel A. Hagelberg — Generalized triangle groups and $3$-dimensional orbifolds [ MR 1332285 ]
-
H.-J. Hoehnke and K. W. Johnson — $3$-characters are sufficient for the group determinant [ MR 1332286 ]
-
A. A. Husainov — On the Hochschild-Mitchell dimension of subsets of the reals [ MR 1332287 ]
-
Gareth A. Jones and Stephen A. Silver — The monodromy genus of the Suzuki groups [ MR 1332288 ]
-
Naoki Kawamoto — On $G$-graded automorphisms of generalized Witt algebras [ MR 1332289 ]
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A. C. Kim — On the Fibonacci group and related topics
-
A. S. Kuz′min and A. A. Nechaev — Linear recurrent sequences over Galois rings [ MR 1332291 ]
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M. I. Kuznetsov — Classification of simple $1$-graded Lie algebras of characteristic $p$ [ MR 1332292 ]
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D. Leĭtes and E. Poletaeva — Supergravities and contact type structures on supermanifolds [ MR 1332293 ]
-
A. B. Levin and A. V. Mikhalëv — Type and dimension of finitely generated $G$-algebras [ MR 1332294 ]
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J. Lõhmus, E. Paal and L. Sorgsepp — Mal′tsev algebras and conservation laws [ MR 1332295 ]
-
Martin Mathieu — On the range of centralizing derivations [ MR 1332296 ]
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A. A. Mikhalëv — On some properties of super Lie elements in a free associative algebra [ MR 1332297 ]
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V. Mishkin — Symmetry groups of ideals on $\omega $ [ MR 1332298 ]
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Philippe Nuss — Hochschild homology and cyclic homology of almost commutative algebras [ MR 1332299 ]
-
J. Marshall Osborn — Modules for Novikov algebras [ MR 1332300 ]
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A. Pasini — Reducibility of chamber systems and factorizations of parabolic systems [ MR 1332301 ]
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V. N. Remeslennikov — $\exists $-free groups and groups with length function [ MR 1332302 ]
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Marcel Roelofs — Prolongation structures for supersymmetric equations and application to the sKdV equation [ MR 1332303 ]
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K. W. Roggenkamp — $p$-adic blocks with cyclic defect [ MR 1332304 ]
-
Louis H. Rowen — Elements of degree $3$ and $4$ in division algebras [ MR 1332305 ]
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David Singerman — Mirrors on Riemann surfaces [ MR 1332306 ]
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V. A. Ustimenko and A. J. Woldar — An improvement on the Erdős bound for graphs of girth $16$ [ MR 1332307 ]
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Thomas Vougiouklis — Some remarks on hyperstructures [ MR 1332308 ]
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Yangkohn Kim — Some subregular germs for the $p$-adic ${\rm Sp}_4(F)$ [ MR 1332309 ]
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M. V. Zaĭtsev — Finiteness conditions in special Lie algebras [ MR 1332310 ]
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This book contains papers presented at the Second International Conference on Algebra, held in Barnaul in August 1991 in honor of the memory of A. I. Shirshov (1921–1981). Many of the results presented here have not been published elsewhere in the literature. The collection provides a panorama of current research in PI-, associative, Lie, and Jordan algebras and discusses the interrelations of these areas with geometry and physics. Other topics in group theory and homological algebra are also covered.
Postgraduates and researchers in mathematics and physics.
-
Articles
-
L. A. Bokut′ and I. P. Shestakov — Some results by A. I. Shirshov and his school [ MR 1332269 ]
-
Eiichi Abe — Chevalley groups over commutative rings. Normal subgroups and automorphisms [ MR 1332270 ]
-
Ricardo Alfaro — Subring-Galois extensions and separability in noncommutative rings [ MR 1332271 ]
-
V. A. Artamonov — Hopf algebras with Engel condition [ MR 1332272 ]
-
K. I. Beĭdar and A. V. Mikhalëv — On topologization of rings with infinite lower Baer radical [ MR 1332273 ]
-
V. A. Belonogov — A new method for calculating $p$-blocks [ MR 1332274 ]
-
Kenneth A. Brown and Martin Lorenz — Grothendieck groups and higher class groups of commutative invariants [ MR 1332275 ]
-
John Clark — On the annihilators of powers of elements in a ring of bounded nilpotency index [ MR 1332276 ]
-
Tilak de Alwis — Betti numbers and free minimal resolutions [ MR 1332277 ]
-
Ralph DeMarr and Joseph Torres — Operator algebras as partially ordered linear algebras [ MR 1332278 ]
-
Alberto Elduque and Hyo Chul Myung — On mutations of Cayley-Dickson algebras [ MR 1332279 ]
-
M. D. Friger — Torsion-free rings: Some results on automorphisms and endomorphisms
-
C. K. Gupta — Lifting primitivity of certain relatively free groups [ MR 1332282 ]
-
Narain Gupta — Dimension subgroups: some recent developments [ MR 1332283 ]
-
Michel Hacque — New Galoisian and nonabelian cohomology for skew fields and applications [ MR 1332284 ]
-
Marcel A. Hagelberg — Generalized triangle groups and $3$-dimensional orbifolds [ MR 1332285 ]
-
H.-J. Hoehnke and K. W. Johnson — $3$-characters are sufficient for the group determinant [ MR 1332286 ]
-
A. A. Husainov — On the Hochschild-Mitchell dimension of subsets of the reals [ MR 1332287 ]
-
Gareth A. Jones and Stephen A. Silver — The monodromy genus of the Suzuki groups [ MR 1332288 ]
-
Naoki Kawamoto — On $G$-graded automorphisms of generalized Witt algebras [ MR 1332289 ]
-
A. C. Kim — On the Fibonacci group and related topics
-
A. S. Kuz′min and A. A. Nechaev — Linear recurrent sequences over Galois rings [ MR 1332291 ]
-
M. I. Kuznetsov — Classification of simple $1$-graded Lie algebras of characteristic $p$ [ MR 1332292 ]
-
D. Leĭtes and E. Poletaeva — Supergravities and contact type structures on supermanifolds [ MR 1332293 ]
-
A. B. Levin and A. V. Mikhalëv — Type and dimension of finitely generated $G$-algebras [ MR 1332294 ]
-
J. Lõhmus, E. Paal and L. Sorgsepp — Mal′tsev algebras and conservation laws [ MR 1332295 ]
-
Martin Mathieu — On the range of centralizing derivations [ MR 1332296 ]
-
A. A. Mikhalëv — On some properties of super Lie elements in a free associative algebra [ MR 1332297 ]
-
V. Mishkin — Symmetry groups of ideals on $\omega $ [ MR 1332298 ]
-
Philippe Nuss — Hochschild homology and cyclic homology of almost commutative algebras [ MR 1332299 ]
-
J. Marshall Osborn — Modules for Novikov algebras [ MR 1332300 ]
-
A. Pasini — Reducibility of chamber systems and factorizations of parabolic systems [ MR 1332301 ]
-
V. N. Remeslennikov — $\exists $-free groups and groups with length function [ MR 1332302 ]
-
Marcel Roelofs — Prolongation structures for supersymmetric equations and application to the sKdV equation [ MR 1332303 ]
-
K. W. Roggenkamp — $p$-adic blocks with cyclic defect [ MR 1332304 ]
-
Louis H. Rowen — Elements of degree $3$ and $4$ in division algebras [ MR 1332305 ]
-
David Singerman — Mirrors on Riemann surfaces [ MR 1332306 ]
-
V. A. Ustimenko and A. J. Woldar — An improvement on the Erdős bound for graphs of girth $16$ [ MR 1332307 ]
-
Thomas Vougiouklis — Some remarks on hyperstructures [ MR 1332308 ]
-
Yangkohn Kim — Some subregular germs for the $p$-adic ${\rm Sp}_4(F)$ [ MR 1332309 ]
-
M. V. Zaĭtsev — Finiteness conditions in special Lie algebras [ MR 1332310 ]