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Axiomatizability of the Class of Subdirectly Irreducible Acts over an Abelian Group
Algebra and Logic ( IF 0.4 ) Pub Date : 2020-11-01 , DOI: 10.1007/s10469-020-09612-w
A. A. Stepanova , D. O. Ptakhov

Abelian groups are described over which the class of all subdirectly irreducible acts is axiomatizable. Also some properties of subdirectly irreducible acts over Abelian groups are studied. It is proved that all connected acts over an Abelian group are subdirectly irreducible iff the group is totally ordered.

中文翻译:

阿贝尔群上次直接不可约行为类的公理化

描述了所有次直接不可约行为的类都是公理化的阿贝尔群。还研究了对阿贝尔群的次直接不可约行为的一些性质。证明了在一个阿贝尔群上的所有连通行为都是次直接不可约的,当该群是完全有序的。
更新日期:2020-11-01
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