论文标题

GALOIS逆半群正交作用的理论

Galois Theory for Inverse Semigroup Orthogonal Actions

论文作者

Lautenschlaeger, Wesley G., Tamusiunas, Thaísa

论文摘要

对于GALOIS对应定理的Glois semutations定理,GALOIS对应定理被证明是在交换环上正交作用于交换环的情况。为此,我们使用了反向半群理论的经典结果,该理论在逆半群和电感类固醇之间建立了一对一的对应关系。

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.

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