On Square Roots and Quasi-Square Roots of Elements in 2-Normed Algebras

The concept of 2-normed spaces and 2-Banach spaces are considered as a generalization of normed and Banach spaces. In the present paper, we have studied the existence of square roots and quasi square roots of some elements of a 2-Banach algebra. Moreover, the relation between nth roots and quasi nth roots of elements in 2-Banach algebras are considered.