In algebra, ring theory is the study of ring algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers.
Ring theory studies the structure of rings, their representations, or, in different language, modules, special classes of rings (group rings, division rings, universal enveloping algebras), as well as an array of properties that proved to be of interest both within the theory itself and for its applications, such as homological properties and polynomial identities.
LINEAR TRANSFORMATION AND REAL ANALYSIS HAND WRITTEN NOTE BY DIPS ACADEMY
Commutative rings are much better understood than noncommutative ones. Algebraic geometry and algebraic number theory, which provide many natural examples of commutative rings, have driven much of the development of commutative ring theory, which is now, under the name of commutative algebra, a major area of modern mathematics. Because these three fields (algebraic geometry, algebraic number theory and commutative algebra) are so intimately connected it is usually difficult and meaningless to decide which field a particular result belongs to.
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LINEAR TRANSFORMATION AND REAL ANALYSIS HAND WRITTEN NOTE BY DIPS ACADEMY
Commutative rings are much better understood than noncommutative ones. Algebraic geometry and algebraic number theory, which provide many natural examples of commutative rings, have driven much of the development of commutative ring theory, which is now, under the name of commutative algebra, a major area of modern mathematics. Because these three fields (algebraic geometry, algebraic number theory and commutative algebra) are so intimately connected it is usually difficult and meaningless to decide which field a particular result belongs to.
SOURCE:- jigssolanki.in
TAKE A LOOK AT: This blog does now not very very very personal this book, neither created nor scanned. We in reality providing the link already available on net. If any way it violates the regulation or has any issues then kindly mail us: jigs602chy@gmail.Com or contact Us for this(link elimination).
We don’t support piracy this reproduction become provided for college kids who are financially poor but deserve greater to study. Thankyou
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