S-系的一些公理化性质

摘要：

讨论了么半群S上C-平坦左$S$ -系类可公理化的充要条件，其中C是右S-系的所有（右理想到S中的）嵌入类.本文研究了Bulman-Fleming和Gould [1]讨论的S-系的某些平坦类的可公理化性。我们在这里提出一个更一般的过程来公理化这些类。Gould和Shaheen [10]已经为S偏序集找到了类似类型的一般结果。我们发现，有一些类的S-系是公理化的一个以上的方法。这是以前从未见过的。

英文摘要：

This paper discusses necessary and sufficient conditions on a monoid S, such that the class of C-flat left $S$-acts is axiomatisable, where C is the class of all embeddings (of right ideals into S) of right S-acts. We consider the axiomatisability of some flatness classes of S-acts, which were previously discussed by Bulman-Fleming and Gould [1] . We present here a more general procedure to axiomatise these classes. A similar type of general results have been found for S-posets by Gould and Shaheen [10]. We have found that there are some classes of S-acts which are axiomatisable by more than one method. This has not been seen before.

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