关于Smarandache环的Smarandache Bryant Schneider群
On Smarandache Bryant Schneider group of a Smarandache loop
摘要：
引入了Smarandache环的Smarandache Bryant Schneider群的概念.发现了S-圈的Bryant Schneider群与Smarandache Bryant Schneider群之间的关系，并发现后者在寻找S-圈的Smarandache同素同构条件时是有用的，就像形式在寻找圈的同素同构条件时是有用的一样.证明了一个环的Bryant Schneider群的某些性质对于Smarandache环的Smarandache Bryant Schneider群也是成立的。对于一类有限Smarandache环，也建立了一些有趣而有用的基数公式.
英文摘要：
The concept of Smarandache Bryant Schneider Group of a Smarandache loop is introduced. Relationship(s) between the Bryant Schneider Group and the Smarandache Bryant Schneider Group of an S-loop are discovered and the later is found to be useful in finding Smarandache isotopy-isomorphy condition(s) in S-loops just like the formal is useful in finding isotopy-isomorphy condition(s) in loops. Some properties of the Bryant Schneider Group of a loop are shown to be true for the Smarandache Bryant Schneider Group of a Smarandache loop. Some interesting and useful cardinality formulas are also established for a type of finite Smarandache loop.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
