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math.RA2025
On semigroups that are prime in the sense of Tarski, and groups prime in the senses of Tarski and of Rhodes
George M. Bergman
If is a category of algebras closed under finite direct products, and the commutative monoid of isomorphism classes of members of with…
math.RA2025
Strongly clean ring elements that are one-sided inverses
George M. Bergman
A longstanding open question is whether every strongly clean ring (ring in which every element is strongly clean, i.e., is the sum of an idempotent and a unit which commute with ea…