On diagonal acts of monoids
On diagonal acts of monoids
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关于幺半群的对角行为
DOI：
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发表时间：
2001
影响因子：
0.7
通讯作者：
M. R. Thomson
中科院分区：
文献类型：
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作者：
E. Robertson;N. Ruškuc;M. R. Thomson
本文证明了所有一元部分递归函数的幺半群RN都是n阶生成的，并且RN × RN是循环的（左和右）RN-作用（在自然对角作用s（a，B）=（sa，sb），（a，B）s =（as，bs）下）.我们还构造了一个双表示幺半群S，使得S × S是循环的左右S-系，并进一步研究了对角系的有趣性质及其与幂幺半群的关系.
It is proved that the monoid RN of all partial recursive functions of one variable is finitely generated, and that RN × RNis a cyclic (left and right) RN-act (under the natural diagonal actions s (a, b) = (sa, sb), (a, b) s = (as, bs)). We also construct a finitely presented monoid S such that S × S is a cyclic left and right S-act, and study further interesting properties of diagonal acts and their relationship with power monoids.