论文标题
关于约旦代数的代数代数的冯·诺伊曼的规律性
On von Neumann regularity of algebras of quotients of Jordan algebras
论文作者
论文摘要
我们针对商的约翰逊定理(Johnson Theorem)讲述了商的约翰逊定理(Johnson Theorem),即商的代数,即强烈的非语言(Jordan版本的非语言)是否具有von Neumann常规代数。尽管答案通常是负面的,但我们证明结果符合满足多项式身份的代数的重要情况。
We address a Jordan version of Johnson theorem on (associative) algebras of quotients, namely whether a strongly nonsingular (the Jordan version of nonsingularity) has a von Neumann regular algebra of quotients. Although the answer is negative in general, we prove that the result holds in the important case of algebras satisfying a polynomial identity.