alpha CC-BAER RINGS

作者：Carrera R E^*; Iberkleid; Lafuente Rodriguez; McGovern W W

来源：Mathematica Slovaca, 2015, 65(2): 371-386.

DOI：10.1515/ms-2015-0029

• alpha cc-Baer rings
• alpha-Baer rings
• alpha cc-disconnected
• alpha cc-Baer hull
• Baer-rings
• f-rings

Let a denote an infinite cardinal or 8 which is used to signify no cardinal constraint. This work introduces the concept of an alpha cc-Baer ring and demonstrates that a commutative semiprime ring A with identity is alpha cc-Baer if and only if Spec(A) is alpha cc-disconnected. Moreover, we prove that for each commutative semprime ring A with identity there exists a minimum alpha cc-Baer ring of quotients, which we call the alpha cc-Baer hull of A. In addition, we investigate a variety of classical alpha-Baer ring results within the contexts of alpha cc-Baer rings and apply our results to produce alternative proofs of some classical results such as A is alpha-Baer if and only if Spec(A) is alpha-disconnected. Lastly, we apply our results within the contexts of archimedean f-rings.

• 出版日期2015-4
• 单位东南大学