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Talk:AW*-algebra

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About the terms left & right annihilators

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It seems that the terms defined in this article are different from those used in other literature. Usually, left (right, respectively) annihilator is defined to be a left (right, respectively) ideal, not a right (left, respectively) ideal. (See, for example, https://en.wikipedia.org/wiki/Baer_ring) Any thoughts?