关于k-循环模态伪补De Morgan代数的注记
A note on k-cyclic modal pseudocomplemented De Morgan algebras
摘要：
模态伪补De Morgan代数的对称结构和k-循环结构已在前面介绍过。本文首先给出了有限对称（或2-循环）模态伪补De Morgan代数之间满射的构造。此外，我们还计算了有限结构间满态映射集合的基数。其次，我们提出了有限自由代数的各种k-循环模态伪补的德摩根代数的建设和显示我们的计算实际上是如何推广到其他文献中。我们的工作是强烈的基础上的性质的满态和自同构和事实，即该品种是cross-generated。
英文摘要：
Symmetric and k-cyclic structure of modal pseudocomplemented De Morgan algebras algebras was introduced previously. In this paper, we first present the construction of epimorphims between finite symmetric (or 2-cyclic) modal pseudocomplemented De Morgan algebras. Furthermore, we compute the cardinality of the set of all epimorphism between finite structures. Secondly, we present the construction of finite free algebras on the variety of k-cyclic modal pseudocomplemented De Morgan algebras and display how our computations are in fact generalizations to others in the literature. Our work is strongly based on the properties of epimorphisms and automorphisms and the fact that the variety is finitely generated.
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