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how the name of the company should appear in the title tag or title element
Just make sure you claim your Google+ page and fill in all the correct information. I'd also spend an hour or so to update the company name on the very few phone/business directories that matter (YellowPages, Switchboard or whatever else is used in your region by real people to find real businesses).
Just use the proper legal name in things like the logo, the copyright, the policy and legal pages, and "ABC Widgets" everywhere else.
It is not just a legal descriptor.
You're overthinking it, Gouri. I absolutely don't think it matters.
Not "just" or not at all? Somewhere, is there paperwork that says "ABC Widgets Inc, Incorporated"? Or were you incorporated from day one, so people have come to think of you as, let's say, Monsters Inc.
If "My Company PCL" is known as MyCo then it is fine to have MyCo as the title on the home page but somewhere on the site (in the UK at least) I need a statement that MyCo is a trading name of My Company PLC together with legally required registration and contact information.
people, I think, are used to seeing a dot after Inc