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difference semigroups; identities; semigroup reducts; subtraction semigroups; subtraction algebra; Boolean algebra
A subtraction semigroup is a semigroup $(A,\ldotp,-)$ with a further operation "$-$" added, called subtraction and satisfying certain axioms. The paper concerns a problem by B. M. Schein concerning the structure of multiplication in a subtraction semigroup.
[1] Abbott J. C.: Sets, lattices and Boolean algebras. Allyn and Bacon, Boston, 1969. MR 0242723 | Zbl 0222.06001
[2] Schein B. M.: Difference semigroups. Communications in Algebra 20 (1992), 2153-2169. DOI 10.1080/00927879208824453 | MR 1172654 | Zbl 0798.20058
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