This record gives a succinct outline of key ideas in Unique Polynomial math, otherwise called Calculated Polynomial math. Dynamic Polynomial math investigates logarithmic designs with normal properties, moving past unambiguous number frameworks. The fundamental ideas covered incorporate Gatherings,...
Abstract Algebra
Abstract Algebra (Conceptual polynomial math )is a part of science that concentrates on
logarithmic designs in a wide and theoretical sense. Instead of focusing on specific number
systems (like integers, rationals, or real numbers), abstract algebra deals with algebraic
structures that have certain common properties. Here are some key concepts in abstract
algebra:
1. Groups:
● A group is a set
● �
● G equipped with a binary operation
● ⋅
● ⋅ that satisfies the following properties:
● Closure: For all
● �,�
● a,b in
● �
● G,
● �⋅�
● a⋅b is also in
● �
● G.
● Associativity: For all
● �,�,�
● a,b,c in
● �
● G,
● (�⋅�)⋅�=�⋅(�⋅�)
● (a⋅b)⋅c=a⋅(b⋅c).
● Identity Element: There exists an element
● �
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