In mathematical logic, an (induced) substructure or (induced) subalgebra is a structure whose domain is a subset of that of a bigger structure, and whose functions and relations are the traces of the functions and relations of the bigger structure. Some examples of subalgebras are subgroups, submonoids, subrings, subfields, subalgebras of algebras... Found on http://en.wikipedia.org/wiki/Substructure
Sub·struc'ture noun [ Prefix sub- + structure .] 1. (Architecture) Same as Substruction . 2. An under structure; a foundation; groundwork. Found on http://www.encyclo.co.uk/webster/S/228
a structure forming the foundation of a building or other construction. · the foundations, piers, and abutments upon which the trusses or girders of the spans of a bridge rest. · any basic structure or organization. Found on https://www.infoplease.com/dictionary/substructure