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A New Representation of Finite Hoops Using a New Type of Product of Structures
Studia Logica 114 (1):145-167 (2026)
Abstract
We define a new type of product of hoops which, in the case of finite hoops, can decompose an arbitrary hoop $$\textbf{A}$$ A into a filter F and the corresponding homomorphic image $$\textbf{A}/F$$ A / F. Since our new product is associative up to isomorphism, we can show that every finite hoop is representable as a product of finite MV-chains.Other Versions
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References found in this work
X.Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin - 2015 - In Marcus Willaschek, Jürgen Stolzenberg, Georg Mohr & Stefano Bacin, Kant-Lexikon. Berlin: De Gruyter. pp. 2698-2698.
L. - 2008 - In Nicholas Bunnin & Jiyuan Yu, The Blackwell Dictionary of Western Philosophy. Oxford: Wiley-Blackwell. pp. 377-404.
L.Alex Murray & Jessica Whyte - 2011 - In Alex Murray & Jessica Whyte, The Agamben Dictionary. Edinburgh: Edinburgh University Press. pp. 116-128.
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