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Finitely generated projective modules over exchange rings
This paper studies finitely generated projective modules over exchange rings. We prove that cancellation holds inp(R), andK o (R) is completely determined by the continuous maps fr...
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Zero divisors and prime elements of bounded semirings
A semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. A bounded semiring is a semiring equipped with a compatible bounded partial ...
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On Reduction Numbers of Products of Ideals
Let R be a standard graded algebra over an infinite field \(\mathbb {K}\) K and M a finitely generated \({\mathbb Z}\) Z -graded R-module. Let \(I_1,\ldots I_m\) I 1 , … I m be graded ideals of R