What is the ruling on seeking fame in matters that are not suspicious, and how can one differentiate between that and showing off, and is there any prohibition in it?

Seeking fame and being keen on it are among the causes of corruption of the heart. The Prophet, peace and blessings be upon him, said: "Two hungry wolves let loose among a flock of sheep are not more destructive to it than a person's greed for money and honor is to his religion."

The first to be cast into the Fire on the Day of Resurrection will be those who sought fame through righteous deeds, such as the martyr, the scholar, and the giver of charity, who acted so that it would be said about them: 'He is brave,' or 'He is learned,' or 'He is generous.' Then they will be dragged on their faces and cast into the Fire.

Whoever seeks people's praise through acts of obedience will be punished with the opposite of his intention; Allah will expose him and people will condemn him. The Prophet, peace and blessings be upon him, said: "Whoever makes his deeds heard, Allah will make his deeds heard (to expose him); and whoever shows off, Allah will show him off (to expose him)." This means that Allah will make him famous and expose him, filling people's ears with bad praise for him.

As for seeking fame in worldly matters like trade and industry, it is not absolutely forbidden like seeking fame in deeds of the Hereafter.