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Right φ-amenability and right character amenability have been introduced for Banach algebras. Here, these concepts will be generalized for Fréchet algebras. Then some of the previous available results about right φ-amenability and right character amenability for the case of Banach algebras will be verified for Fréchet algebras. Related results about Segal Fréchet algebras are provided.

Right $\varphi$ -contractibility and right character contractibility of Banach algebras have been introduced and investigated. Here, we introduce and generalize these concepts for Fréchet algebras. We then verify available results about right $\varphi$ -contractibility and right character contractibility of Banach algebras for Fréchet algebras. Moreover, we provide related results about Segal–Fréchet algebras.

Confronting fierce global competition, organizations have implemented knowledge management to enhance competitive advantages. With increasing investments in resources for knowledge management implementation in many organizations, measuring knowledge management maturity has become an important agenda among researchers and practitioners. This study develops a knowledge navigator model (KNMTM) to navigate knowledge management (KM) implementation journey. The KNM comprises two frameworks: evaluation and calculation framework . In order to gain and sustain a competitive advantage in the global economy, today's organizations need to effectively mobilize their knowledge resources. Knowledge management consists of a special systematic and organizational process in which one is allowed to acquire, organize, maintain, apply, distribute, publish and recreate both explicit and implicit knowledge for the staff to promote the organizational performance and value creation. Knowledge management maturity, the level of capabilities that exist in an organization with their different dimensions influence the knowledge management process. Every organization, as judged by functions it has performed on knowledge management is at a certain level of maturity that shows its status quo on knowledge management. KMMM (knowledge management maturity model) in an organization describes some steps of growth that can be expected by the organization to reach its knowledge management development. One maturity model is made up of some maturation levels that can be obtained step by step by an organization over a period of time (1). However, in current KM maturity models, there is a lack of an evaluation framework with detailed items and procedures which could be easily obtained and fully understood by practitioners and researchers. This study develops a