👉 In mathematics, a kerneled object is an object that can be expressed as a direct sum of its kernel and cokernel. This concept has been introduced by many authors, such as Alexander Grothendieck, who used it to describe the structure of algebraic varieties. A kernel of an element $a$ in a module M over a ring R is a submodule of M that contains all multiples of $a$. A cokernel of an element $b$ in a module