Jeff Sutherland describes 3 types of scrums A, B and C in progressing levels of maturity.
Jeff didn't invent this stuff btw, Toyota and a whole bunch of really smart japanese manufacturers did.
Jeff just puts it into words and a nice little package/framework called scrum along side Ken Schwaber and Mike Beedle.
Anyhow, the three types:

Regarding Type A scrum :
Documents (artifacts sometimes they're called):
Sprint Backlog, Product Backlog, and Burn down chart.
Ceremonies: Sprint planning, scrum(standup, daily) meeting, sprint review
Roles: Product owner, Scrum master, team
Technically, if you 'have' these at all, then you're doing scrum.
However, do you have any improvements to make on them? sure, why wouldn't we :)
Over the next few days, i'm going to start going down the list more in depth and reflective over the past few years of my utilizing 'scrum' (even when sometimes i didn't know that's what it was).