逆半群正交作用的伽罗瓦论
Galois Theory for Inverse Semigroup Orthogonal Actions
摘要：
作为群胚作用的伽罗瓦对应定理的推广，证明了逆半群在交换环上正交作用时的伽罗瓦对应定理。为此，我们使用逆半群理论的一个经典结果，建立了逆半群和归纳群胚之间的一一对应。
英文摘要：
A Galois correspondence theorem is proved for the case of inverse semigroups acting orthogonally on commutative rings as a consequence of the Galois correspondence theorem for groupoid actions. To this end, we use a classic result of inverse semigroup theory that establishes a one-to-one correspondence between inverse semigroups and inductive groupoids.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
