Transversal Intersection and Sum of Polynomial Ideals

Derivation modules for Sum and Gluing

“…Ideals I and J in R are said to intersect transversally if I ∩ J = IJ. Transversal intersection of monomial ideals and ideals of the form I + J, where I and J intersect transversally have been studied in detail in [7] and [8] respectively. Syzygies of ideals of the form I + J can be read easily when I and J intersect transversally.…”