Antigen
The antibiotic penicillin is a small molecule that does not induce antibody formation. However, penicillin binds to serum proteins and forms a complex that in some people induces antibody formation resulting in an allergic reaction. Penicillin is therefore

an antigen
an immunogen
both an antigen and a hapten
a hapten

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Antigen
For specific antigen recognition by T cells,

antigen exposure during T cell maturation is required
antigen is bound by a T cell membrane antibody
denaturation of antigen does not reduce epitope recognition
MHC molecules are not required

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