逆半群正交作用的极大序Groupoid和Galois对应

IF 0.6 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2023-08-21 DOI:10.1007/s10485-023-09742-z

Wesley G. Lautenschlaeger, Thaísa Tamusiunas

引用次数: 0

摘要

引入极大有序群类，研究了它们的一些性质。利用建立了逆半群与一类有序类群之间的一一对应关系的Ehresmann-Schein-Nambooripad定理，证明了逆半群正交作用于交换环上的伽罗瓦对应关系。

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Maximal Ordered Groupoids and a Galois Correspondence for Inverse Semigroup Orthogonal Actions

We introduce maximal ordered groupoids and study some of their properties. Also, we use the Ehresmann–Schein–Nambooripad Theorem, which establishes a one-to-one correspondence between inverse semigroups and a class of ordered groupoids, to prove a Galois correspondence for the case of inverse semigroups acting orthogonally on commutative rings.

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来源期刊

Applied Categorical Structures 数学-数学

CiteScore

1.30

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Applied Categorical Structures focuses on applications of results, techniques and ideas from category theory to mathematics, physics and computer science. These include the study of topological and algebraic categories, representation theory, algebraic geometry, homological and homotopical algebra, derived and triangulated categories, categorification of (geometric) invariants, categorical investigations in mathematical physics, higher category theory and applications, categorical investigations in functional analysis, in continuous order theory and in theoretical computer science. In addition, the journal also follows the development of emerging fields in which the application of categorical methods proves to be relevant. Applied Categorical Structures publishes both carefully refereed research papers and survey papers. It promotes communication and increases the dissemination of new results and ideas among mathematicians and computer scientists who use categorical methods in their research.