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Split exact sequences of finite MTL-chains
Volume 62, no. 2
(2021),
pp. 295–304
https://doi.org/10.33044/revuma.1787
Abstract
This paper is devoted to presenting ordinal sums of MTL-chains as a particular
case of split short exact sequences of finite chains in the category of
semihoops. This module theoretical approach will allows us to prove, in a very
elementary way, that every finite locally unital MTL-chain can be decomposed
as an ordinal sum of archimedean MTL-chains. Furthermore, we propose the study
of MTL-chain extensions and we show that ordinal sums of locally unital
MTL-chains are a particular case of these.
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Published by the Unión Matemática Argentina |
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