Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited)

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  • Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited) Book Detail

  • Author : Florentin Smarandache
  • Release Date :
  • Publisher : Infinite Study
  • Genre : Mathematics
  • Pages : 16
  • ISBN 13 :
  • File Size : 55,55 MB

Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited) by Florentin Smarandache PDF Summary

Book Description: In all classical algebraic structures, the Laws of Compositions on a given set are well-defined. But this is a restrictive case, because there are many more situations in science and in any domain of knowledge when a law of composition defined on a set may be only partially-defined (or partially true) and partially-undefined (or partially false), that we call NeutroDefined, or totally undefined (totally false) that we call AntiDefined. Again, in all classical algebraic structures, the Axioms (Associativity, Commutativity, etc.) defined on a set are totally true, but it is again a restrictive case, because similarly there are numerous situations in science and in any domain of knowledge when an Axiom defined on a set may be only partially-true (and partially-false), that we call NeutroAxiom, or totally false that we call AntiAxiom. Therefore, we open for the first time in 2019 new fields of research called NeutroStructures and AntiStructures respectively.

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