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Focuses on the interaction between algebra and algebraic geometry, including high-level research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics.
Preface
Frobenius and Maschke Type Theorems for Doi- Hopf Modules and Entwined Modules Revisited: A Unified Approach
Computing the Gelfand-Kirillov Dimension II
Some Problems About Nilpotent Lie Algebras
On L*-Triples and Jordan H*-Pairs
Toric Mathematics from Semigroup Viewpoint
Canonical Forms for Linear Dynamical Systems over Commutative Rings: The Local Case
An introduction to Janet bases and Grobner bases
Invariants of Coalgebras
Multiplication Objects
Krull-Schmidt Theorem and Semilocal Endomorphism Rings
On Suslin's Stability Theorem for R[XI...xm]
Characterization of Rings Using Socle-Fine and Radical-Fine Notions
About Bernstein Algebras
About an Algorithm of T. Oaku
Minimal Injective Resolutions: Old and New
Special Divisors of Blowup Algebras
Existence of Euler Vector Fields for Curves with Binomial Ideal
An Amitsur Cohomology Exact Sequence for Invo-lutive Brauer Groups of the Second Kind 1
Computation of the Slopes of a D-Module of Type Dr/N
Symmetric Closed Categories and Involutive Brauer Groups1