Implicative-groups vs. groups and generalizations

The present monograph treats mainly our results obtained in the last nine years, many of them obtained in the last two years and presented here for the first time. To specify and understand the context, we make first an overview of some algebras of logic (with additional operation(s)) vs. an overview of some unital magmas (with additional operation(s)), in the non-commutative case. On this occasion, we introduced the pseudo-M algebra (and some subclasses) as the most general algebra of logic studied in this work.

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