According to Jacobson, a right ideal of a ring [Formula: see text] is bounded if it contains a nonzero ideal of [Formula: see text]. Faith called a ring strongly right bounded if every nonzero right ideal is bounded. We examine some annihilator conditions for skew inverse Laurent series ring [Formula: see text], accomplished with relationships among certain classical sorts of rings such as rings with bounded annihilators and rings with property ([Formula: see text]).
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Hajaliakbari et al. (2024) studied this question.
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