A Note on Kernels of Group and Ring Homomorphisms Pandey S. K.* Department of Mathematics, Sardar Patel University of Police, Security and Criminal Justice, Opp. Vigyan Nagar-342037, Jodhpur, India *E-mail: skpandey12@gmail.com
Online Published on 08 June, 2023. Abstract Among various other results we exhibit that each group is a kernel of a group homomorphism and each additive group as well as each ring can be seen as a kernel of a ring homomorphism. In addition we discuss the algebraic implications of the idea presented in this paper. Top Keywords Group, Ring, Ideal, Quotient group, Quotient ring. Top |
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