例文
- For general rings, elements idempotent under multiplication are tied with decompositions of modules, as well as to homological properties of the ring.
- This statement goes back to David Hilbert's foundational work on homological properties of polynomial rings, see Hilbert's syzygy theorem.
- *Schur algebras provide natural examples of quasihereditary algebras ( as defined by Cline, Parshall, and Scott ), and thus have nice homological properties.
