Introduction to NeutroAlgebraic Structures and AntiAlgebraic Structures (revisited)
: 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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2020-01-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/NeutroAlgebraic-AntiAlgebraic-Structures.pdf |
| Summary: | : 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. |
|---|---|
| ISSN: | 2331-6055 2331-608X |