مشتق های تعمیم یافته روی دسته خاصی از جبرهای باناخ.

In this paper, we apply the well-known results concerning derivations and generalized derivations of commutative Banach algebras and of prime rings to certain Banach algebras that are neither commutative Banach algebras nor prime rings. For example, we investigate the truth of SingerWermer conjecture and Posner’s second theorem for this class of Banach algebras. [ABSTRACT FROM AUTHOR]