Locally Closed Semirings and Iteration Semirings
Locally Closed Semirings and Iteration Semirings
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DOI：
10.1007/s00605-004-0265-0
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发表时间：
2005-02
期刊：
影响因子：
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通讯作者：
X. Zhao
中科院分区：
文献类型：
--
作者：
X. Zhao
局部闭半环、迭代半环和Conway半环在半环的代数理论和理论计算机科学中起着重要的作用。Z. esik和W. Kuich证明了局部闭交换半环是迭代半环（也是Conway半环）。通过对多项式半环和矩阵半环的研究，得到了某些多项式的新的表达式，并证明了局部闭半环上的所有矩阵半环也是局部闭的，因而局部闭半环（不必是交换的）是迭代半环.
Locally closed semirings, iteration semirings and Conway semirings play an important role in the algebraic theory of semirings and theoretical computer science. Z. ésik and W. Kuich showed that a locally closed commutative semiring is an iteration semiring (is also a Conway semiring). By study of polynomial semirings and matrix semirings, we obtain new expressions of certain polynomials and show that all matrix semirings over a locally closed semiring are also locally closed, and so a locally closed semiring (which need not be commutative) is an iteration semiring.