Some special p-groups and nearrings with identity.
Ключові слова:
p-Group, nearring with identityАнотація
Clearly every associative ring is a nearring and each group is the additive group of a nearring, but not necessarily of a nearring with identity. The question what group can be the additive group of a nearring with identity is far from solution.
Посилання
M. Hall, Jr., The Theory of Groups, The Macmillan Company, New York, 1959.
J. R. Clay, Research in near-ring theory using a digital computer, BIT 10 (1970), 249–265.
R. R. Laxton, R. Lockhart, The near-rings hosted by a class of groups, Proc. Edinb. Math. Soc. (2) 23 (1980), 69–86.
