here is what he research and made (Definition )
this is for students who finish University
abstract algebra In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group.
Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.
Noether's most important contributions to mathematics were to the development of this new field, abstract algebra.Thus one can study groups, rings, fields and other abstract systems; together such studies (for structures defined by algebraic operations) constitute the domain of abstract algebra.Abel and Galois's investigations into the solutions of various polynomial equations laid the groundwork for further developments of group theory, and the associated fields of abstract algebra
Abstract algebra was developed in the 19th century, deriving from the interest in solving equations, initially focusing on what is now called Galois theory, and on constructibility issues.
Now we're starting to, very slowly, starting to get into the abstraction of algebra.
The study of numbers, called algebra at the beginning undergraduate level, extends to abstract algebra at a more advanced level; and the study of functions, called calculus at the college freshman level becomes mathematical analysis and functional analysis at a more advanced level
In his introduction to Noether's Collected Papers, Nathan Jacobson wrote that The development of abstract algebra, which is one of the most distinctive innovations of twentieth century mathematics, is largely due to her – in published papers, in lectures, and in personal influence on her contemporaries
Jean Alexandre Eugène Dieudonné (French: ; 1 July 1906 – 29 November 1992) was a French mathematician, notable for research in abstract algebra, algebraic geometry, and functional analysis, for close involvement with the Nicolas Bourbaki pseudonymous group and the Éléments de géométrie algébrique project of Alexander Grothendieck, and as a historian of mathematics, particularly in the fields of functional analysis and algebraic topology.
Al- Khwārizmī'and he's the gentleman that definitely we credit with the name Algebra, comes from Arabic for'Restoration'and some people also consider him to be, if not the father of Algebra, although some say he is the father, he is one of the fathers of Algebra, because he really started to think about Algebra in the abstract sense, devoid of some specific problems, and a lot of the ways that a modern mathematician would start to think about the field.
His book with Samuel Eilenberg Homological Algebra was an important text, treating the subject with a moderate level of abstraction with the help of category theory.
Noether's work Abstrakter Aufbau der Idealtheorie in algebraischen Zahl- und Funktionenkörpern (Abstract Structure of the Theory of Ideals in Algebraic Number and Function Fields, 1927) characterized the rings in which the ideals have unique factorization into prime ideals as the Dedekind domains: integral domains that are Noetherian, 0- or 1-dimensional, and integrally closed in their quotient fields.
But what we want to propose, is that the highest levels of abstraction, things like mathematics, computing, logic, etc. -- all of this can be engaged with, not just through purely cerebral algebraic symbolic methods, but by literally, physically playing with ideas
Its also called Mordern math i think
So guys guess what is my dad job .
Hint he is very famous if you search his name but i wont tell you