TY - JOUR T1 - On the Smoothness of Functors TT - JF - IJMSI JO - IJMSI VL - 5 IS - 1 UR - http://ijmsi.ir/article-1-110-en.html Y1 - 2010 SP - 27 EP - 39 KW - Abelian Category KW - First Order Deformations KW - Multicategory KW - Tangent Category KW - Topologizing Subcategory. N2 - In this paper we will try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should has. M3 10.7508/ijmsi.2010.01.004 ER -