join-irreducible member

join-irreducible member

[¦jȯin ‚ir·i‚dü·sə·bəl ′mem·bər]
(mathematics)
A member, A, of a lattice or ring of sets such that, if A is equal to the join of two other members, B and C, then A equals B or A equals C.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.