plural of ordered ring

(algebra, order theory, ring theory) A ring, R, equipped with a partial order, ≤, such that for arbitrary a, b, c ∈ R, if a ≤ b then a + c ≤ b + c, and if, additionally, 0 ≤ c, then both ca ≤ cb and ac ≤ bc.

plural of order of precedence

(of troops etc.) in an arrangement in compact units at close intervals and distances, as for marching and/or drill.

(military) A military unit formed up so as to allow space between its ranks. / (nautical) A naval formation in which ships are four cables'-length (2880 feet) apart.

plural of minor order / Used other than figuratively or idiomatically: see minor, orders.

A book or ledger that lists customer orders, especially orders that have not yet been filled.

(Christianity) The sacrament of ordination to the rank of minister or (in Catholicism and Orthodoxy) deacon, priest, or bishop.

plural of hospital order

A court order requiring an offender who is found not guilty by reason of insanity to be admitted to a psychiatric hospital.