NEITHER Dr. Hilbert nor the reviewer make any suggestion that the commutative law of addition is best proved as a deduction from the laws of multiplication. But the laws of multiplication are so ...

David Eisenbud, Irena Peeva, Bernd Sturmfels, Non-Commutative Gröbner Bases for Commutative Algebras, Proceedings of the American Mathematical Society, Vol. 126, No ...

Over commutative graded local artinian rings, examples are constructed of periodic modules of arbitrary minimal period and modules with bounded Betti numbers, which are not eventually periodic. They ...