Infinitary version of Pol-Inv Galois connection

Shohei Izawa

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arXiv · 1310.1849

Infinitary version of Pol-Inv Galois connection

Shohei Izawa

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Abstract

In this article, we prove infinitary version of one to one correspondence theorem between clones and relational clones on a fixed possibly infinite set. We also characterize the relational clone corresponding to the clone of all finitary operations. By this characterization, we obtain correspondence between finitary clones on a fixed infinite set and relational clones satisfying some condition.

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BibTeX RIS

Shohei Izawa. 2013-09-18. Infinitary version of Pol-Inv Galois connection. https://arxiv.org/abs/1310.1849

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