Ebook: Algebra Some Current Trends: Proceedings of the 5th National School in Algebra held in Varna, Bulgaria, Sept. 24 – Oct. 4, 1986

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Content:
Front Matter....Pages -
Matrix factorizations of homogeneous polynomials....Pages 1-33
Some new results in the combinatorial theory of rings and groups....Pages 34-43
On representations of infinite groups....Pages 44-59
Integral manifolds, harmonic mappings, and the abelian subspace problem....Pages 60-74
Valuations on ree fields....Pages 75-87
Standard bases and homology....Pages 88-95
Semisimple superalgebras....Pages 96-113
On the laws of finite dimensional representations of solvable lie algebras and groups....Pages 114-129
Lie groups and ergodic theory....Pages 130-146
Galois theory of databases....Pages 147-161
On the codimensions of matrix algebras....Pages 162-172
Homology of free loop spaces, cyclic homology and non-rational poincare-betti series in commutative algebra....Pages 173-189
Incomplete sums and two applications of Deligne's result....Pages 190-205
Eigenvalues of matrices of complex representations of finite groups of lie type....Pages 206-218
Normal fitting classes of groups and generalizations....Pages 219-226
On the nilpotency of nil algebras....Pages 227-240

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Content:
Front Matter....Pages -
Matrix factorizations of homogeneous polynomials....Pages 1-33
Some new results in the combinatorial theory of rings and groups....Pages 34-43
On representations of infinite groups....Pages 44-59
Integral manifolds, harmonic mappings, and the abelian subspace problem....Pages 60-74
Valuations on ree fields....Pages 75-87
Standard bases and homology....Pages 88-95
Semisimple superalgebras....Pages 96-113
On the laws of finite dimensional representations of solvable lie algebras and groups....Pages 114-129
Lie groups and ergodic theory....Pages 130-146
Galois theory of databases....Pages 147-161
On the codimensions of matrix algebras....Pages 162-172
Homology of free loop spaces, cyclic homology and non-rational poincare-betti series in commutative algebra....Pages 173-189
Incomplete sums and two applications of Deligne's result....Pages 190-205
Eigenvalues of matrices of complex representations of finite groups of lie type....Pages 206-218
Normal fitting classes of groups and generalizations....Pages 219-226
On the nilpotency of nil algebras....Pages 227-240
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