plural of reduced algebra

(algebra, ring theory) A ring R that has no nonzero nilpotent elements; equivalently, such that, for x ∈ R, x² = 0 implies x = 0.

(algebra, ring theory) An algebra over a reduced ring.

plural of reduced ring

A scale used by surveyors for reducing chains and links to acres and rods.

plural of reducing scale

(linear algebra) Said of a matrix which has undergone row reduction; i.e., of a matrix which has a 1 as the leading entry of each one of its non-zero rows and which has zeroes as all the other entries of any column containing such a leading entry (of any non-zero row).

(physics) Half of the harmonic mean of two given masses.

(US, education, often attributive) In Connecticut, the status of a school meeting certain racial diversity quotas.

(chemistry) Any substance that reduces, or donates electrons to, another; in so doing, it becomes oxidized.