Ideals and Factor Rings

Dinesh Khattar () and Neha Agrawal ()
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Dinesh Khattar: University of Delhi, Department of Mathematics
Neha Agrawal: University of Delhi, Department of Mathematics

Chapter Chapter 3 in Ring Theory, 2023, pp 79-136 from Springer

Abstract: Abstract Let us approach ideals in rings by way of a comparison with group theory. Group theory required us to refine our study of subgroups by examining the special case of normal subgroups. There is a neat structural parallel to be drawn here the notion of an ideal in a ring is analogous to the concept of a normal subgroup in groups. The similarities do not end here! Just as normal subgroups led us to the creation of quotient groups, in a similar way ideals do the job when we define quotient rings/factor rings.

Date: 2023
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DOI: 10.1007/978-3-031-29440-2_3

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