Projective Bundle Ideals Constructions of m-primary irreducible Ideals in Polynomial Algebras
نویسندگان
چکیده
The study of m-primary irreducible ideals in a commutative graded connected Noetherean algebra over a field is in principal equivalent to the study of the corresponding quotient algebras. Such algebras are Poincaré duality algebras. The prototype of such an algebra (apart from the cosmetic difference of being graded commutative rather than commutative graded) is the cohomology with field coefficients of a closed oriented manifold. Topological constructions on closed manifolds often lead to algebraic constructions on Poincaré duality algebras. It is the purpose of this note to examine several of these and develop some of their basic properties.
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