What does alternativity mean?
Definitions for alternativity
al·ter·na·tiv·i·ty
This dictionary definitions page includes all the possible meanings, example usage and translations of the word alternativity.
Wiktionary
alternativitynoun
A characteristic of something having alternative connotations, akin to the representation of choice between two or more possibilities.
alternativitynoun
A term of magma used to describe identifiable properties in an algebraic structure.
Wikipedia
Alternativity
In abstract algebra, alternativity is a property of a binary operation. A magma G is said to be left alternative if ( x x ) y = x ( x y ) {\displaystyle (xx)y=x(xy)} for all x , y ∈ G {\displaystyle x,y\in G} and right alternative if y ( x x ) = ( y x ) x {\displaystyle y(xx)=(yx)x} for all x , y ∈ G . {\displaystyle x,y\in G.} A magma that is both left and right alternative is said to be alternative (flexible).Any associative magma (that is, a semigroup) is alternative. More generally, a magma in which every pair of elements generates an associative submagma must be alternative. The converse, however, is not true, in contrast to the situation in alternative algebras. In fact, an alternative magma need not even be power-associative.
Wikidata
Alternativity
In abstract algebra, alternativity is a property of a binary operation. A magma G is said to be left alternative if y = x for all x and y in G and right alternative if y = x for all x and y in G. A magma that is both left and right alternative is said to be alternative. Any associative magma is clearly alternative. More generally, a magma in which every pair of elements generates an associative submagma must be alternative. The converse, however, is not true, in contrast to the situation in alternative algebras. In fact, an alternative magma need not even be power-associative.
Numerology
Chaldean Numerology
The numerical value of alternativity in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of alternativity in Pythagorean Numerology is: 5
Translations for alternativity
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"alternativity." Definitions.net. STANDS4 LLC, 2024. Web. 23 Apr. 2024. <https://www.definitions.net/definition/alternativity>.
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