cyclic group is abelian integers
Let G be a cyclic group is Abelian integers, generated by a (constant element) and x, y (variables) ∈ G. Then there are positive integers k and m such that …
cyclic group is abelian integers Read MoreSet Theory
Set theory
unit and unity ring theory
Unit and unity in ring theory, The term unit and unity should not be confused. Unity is the multiplicative identity, while a unit is any element having a multiplicative inverse. …
unit and unity ring theory Read Moreproperties of rings in groups
Properties of rings in groups, let (R, +, ×) be a ring. Since (R, +) is a group, all the group properties for addition hold in R. (real number) The unique …
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Number system in set theory
Number system in set theory, Natural number is denoted by capital N, whole number is denoted by W, set of integer is denoted by Z, Rational number is denoted by …
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multiplicative property of inequalities
Multiplicative property of inequalities, For all number a, b, c, d (maybe any numeric number 2, 3, 4, 5) is a part (∈) of real number (R). …
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Straight Line parallel to the x- axis equation
Equation of straight Line parallel to the x-axis: All the point on the Line L parallel to the x-axis remain at a common distance (say “a”) from the x-axis. Therefore, …
Straight Line parallel to the x- axis equation Read MoreAddition and multiplication laws of real number
Addition and multiplication laws of real number (1) Addition Laws of real number (i) Closure Law of addition ∀ a, b ∈ R (for all a, b is a …
Addition and multiplication laws of real number Read MoreAddition law of multiplication of real number
Addition law of multiplication Always all number operation of addition lies is a part of the real number example we have three number a, b, c Addition operation on a, …
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Roster or tabular form of set
Roster or tabular form of a set ; all elements of a set can be counted and listed or limited in number, object, names, country name, food atom, food type, …
Roster or tabular form of set Read MoreType of surd or irrational root definition and example
Type of Surd ( irrational root) definition and example: Surd mean in mathematic irrational root, irrational root term, condition, type detail one by one detail (1)Monomial surd or monomial irrational …
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