论文标题
差异BRAUER单体
Differential Brauer Monoids
论文作者
论文摘要
定义了差分交换环r的差异brauer单体。它的元素是差分azumaya r代数的同构类别，其张量产物的运行方式应与两个此类代数相等的关系，如果它们上面的矩阵代数是等同的，则是同构的。小组的鲍尔单型是同一件事，而没有差分要求。然后，从r及其常数环和其基础azumaya代数为矩阵环的brauer单体及其brauer brauer monoid确定。
The differential Brauer monoid of a differential commutative ring R s defined. Its elements are the isomorphism classes of differential Azumaya R algebras with operation from tensor product subject to the relation that two such algebras are equivalent if matrix algebras over them are differentially isomorphic. The Bauer monoid, which is a group, is the same thing without the differential requirement. The differential Brauer monoid is then determined from the Brauer monoids of R and its ring of constants and the submonoid whose underlying Azumaya algebras are matrix rings.
