论文标题
关于摩根模块的法律
On the de Morgan's laws for modules
论文作者
论文摘要
在这项调查中，我们提供了众所周知的Demorgan法律和拓扑空间的模块理论。我们观察到，当模块具有某种形式的结构时，模块上的相应类似于Demorgan的定律会确切地保持。除了考虑到有序结构（愚蠢的定量）法律的考虑之外，手稿还回到了戒指理论领域，在这种情况下，我们研究了Dedekind域的非交换性对应物，此考虑会导致Asano Prime环的概念。
In this investigation, we give a module-theoretic counterpart of the well known Demorgan's laws for rings and topological spaces. We observed that the corresponding like Demorgan's laws on a module holds precisely when the module has a certain kind of structure. Besides the considerations of Demorgan's laws for ordered structures (idiomatic-quantales) the manuscript goes back to the ring theoretic realm, in this case, we study the non-commutative counterpart of Dedekind domains this consideration leads to the concept of Asano prime ring.
