Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2018 • Question 5

Question

Math 6310 • Algebra Spring 2018 • Question 5

Let \(R=\mathbb {Q}[x,y,z]\) and let \(I=(x,y)\) and \(J=(y,z)\). Compute \(\operatorname {Tor}^R_i(R/I,R/J)\) for all values of \(i\ge 0\).

Raw LaTeX

Let \(R=\mathbb{Q}[x,y,z]\) and let \(I=(x,y)\) and \(J=(y,z)\). Compute
\(\operatorname{Tor}^R_i(R/I,R/J)\) for all values of \(i\ge 0\).

Topic Tags

Ideals and Quotient Rings Tor Functors and Projective Resolutions