Let $G$ be a finite groupoid and $\alpha=(S_g,\alpha_g)_{g\in G}$ unital partial action of group-type on commutative ring $S=\oplus_{y\in G_0}S_y$. We prove Galois correspondence between class wide subgroupoids subrings $S$. recover known results for global actions we give several examples to illustrate the correspondence.

We investigate the Galois coverings of weakly shod algebras. For a weakly shod algebra not quasi-tilted of canonical type, we establish a correspondence between its Galois coverings and the Galois coverings of its connecting component. As a consequence we show that a weakly shod algebra which is not quasi-tilted of canonical type is simply connected if and only if its first Hochschild cohomolog...

The wild McKay correspondence, a variant of the correspondence in positive characteristics, shows that stringy motives quotient varieties equal some motivic integrals on moduli space Galois covers formal disk. In this paper, we determine when integral converges for case cyclic groups prime power order. As an application, give criterion variety being canonical or log canonical.

Let G be a finite group, Λ an absolutely irreducible Z[G]-module and w a weight of Λ. To any Galois covering with group G we associate two correspondences, the Schur and the Kanev correspondence. We work out their relation and compute their invariants. Using this, we give some new examples of Prym-Tyurin varieties.

A Galois correspondence for finitely generated field extensions k/h is presented in the case characteristic h = p ^ 0. A field extension k/h is Galois if it is modular and h is separably algebraically closed in k. Galois groups are the direct limit of groups of higher derivations having rank a power of p. Galois groups are characterized in terms of abelian iterative generating sets in a manner ...

In abstract algebra, we considered finite Galois extensions of fields with their Galois groups. Here, we noticed a correspondence between the intermediate fields and the subgroups of the Galois group; specifically, there is an inclusion reversing bijection that takes a subgroup to its fixed field. We notice a similar relationship in topology between the fundamental group and covering spaces. Th...

Discrete subfactors include a particular class of infinite index and all finite ones. A discrete subfactor is called local when it braided fulfills commutativity condition motivated by the study inclusion Quantum Field Theories in algebraic Haag–Kastler setting. In Bischoff et al. (J Funct Anal 281(1):109004, 2021), we proved that every irreducible arises as fixed point under action canonical c...