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On some partial orders on a certain subset of the power set of rings

On some partial orders on a certain subset of the power set of rings

Let ๐“ก be a ring with identity and let ๐“™๐“ก be a collection of subsets of ๐“ก such that their left and right annihilators are generated by the same idempotent. % from ๐“ก. We extend the notion of the sharp, the left-sharp, and the right-sharp partial orders to ๐“™๐“ก, present โ€ฆ