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math.RA2026
An extension theory and semidirect sums for nearrings
Stefan Veldsman
An extension theory for nearrings along the lines of the Schreier extension for groups and the Everett extension for rings is given. The semidirect sum of two nearrings is a specia…
math.RA2026
Free nearrings
Stefan Veldsman
An explicit construction of a free nearring as well as the free product (= coproduct) of two nearrings are given in the variety of all, not necessarily zero-symmetric, nearrings.