论文标题
伪巨星的一些属性
Some properties of pseudomeadows
论文作者
论文摘要
本文的目的是研究以与交换性草地相同的方式定义的结构,只是不需要乘法身份。我们将有限的交换性草地的表征扩展到I.我们还将一般交换草田作为田野的一般性表征扩展到了交换伪莫达的情况。最后,我们研究了交换伪层的定位。
The purpose of this paper is to study the commutative pseudomeadows, the structure which is defined in the same way as commutative meadows, except that the existence of a multiplicative identity is not required. We extend the characterization of finite commutative meadows, given by I.~Bethke, P.~Rodenburg, and A.~Sevenster in their 2015 paper, to the case of commutative pseudomeadows with finitely many idempotents. We also extend the well-known characterization of general commutative meadows as the subdirect products of fields to the case of commutative pseudomeadows. Finally we investigate localizations of commutative pseudomeadows.