1863 A. Cayley in Proc. Brit. Assoc. 1862, Sections 3 A cone..and a monoid surface with the same vertex.

1866 W. T. Brande & G. W. Cox Dict. Sci., Lit. & Art (new ed.) II. 568/2 The cones P and Q are called respectively the superior and inferior cones of the monoid.

1908 Amer. Jrnl. Math. 30 342 Every algebraic space curve can be represented by a cone k_m of the same order as the curve, and the monoid w = ^k_n+1/ _kn, where k_n is a cone containing all the double edges of k_m, and k_n+1 passes through all the intersections of k_n, k_m.

1924 Ann. Math. 25 279 A monoidal space transformation is defined as one in which the planes of space are transformed into surfaces (monoids) of order n with a common (n − 1)-fold point.

1952 Proc. Amer. Math. Soc. 3 346 It is a monoidal transformation since the homaloids in [3] are monoids.

1956 C. Chevalley Fund. Concepts Algebra i. 4 A monoid is a set A which has a law of composition that is associative and has a neutral element.

1966 M. Gross in Automatic Transl. of Lang. (NATO Summer School, Venice, 1962) 132 The language defined is the set of all possible combinations of words. It is the monoid C(M).

1990 Glasgow Math. Jrnl. 32 329 For every monoid M, any universal category thus contains a proper class of pairwise non-isomorphic objects X whose endomorphism monoid End(X) is isomorphic to M.

1890 Cent. Dict. Monoid, containing but one kind of foot... Monoid meters are also called pure meters or simple meters.