The phrase "a notoriety" is not correct in standard English usage.
The correct expression is "notoriety" without the article "a," as notoriety is an uncountable noun.
Example: "The criminal gained notoriety for his infamous heists."
Alternatives: "infamy" or "ill fame."
Dalaunja acquired a notoriety of sheltering insurgents coming from Pakistan.
Yet the secretive billionaire achieved a notoriety in death that he had avoided in life.
But on July 11, the Forest Avenue Starbucks achieved a notoriety of sorts.
But the scope of her success brought her a notoriety that was, she said, "destabilizing, and even devastating.
The release of "Lost Voices" brought him a notoriety that extended, in a modest way, beyond his circle of associates.
What she can't elude is our desire to do so: a notoriety she has sustained, uncomfortably, for most of her adulthood.
He would be relegated to a perpetual notoriety, a purgatorial treadmill.
Outside Newport, Mr. Wurman enjoys a happy notoriety as a connector and king-maker.
It acquired a worldwide notoriety with a series of kidnappings and beheadings.
Yet social media have given Weiner a parallel notoriety, as an unlikely feminist enforcer.
Social media have given the best-selling novelist Jennifer Weiner a parallel notoriety, as an unlikely feminist enforcer.
