TY - JOUR
T1 - Nearring Multiplications on Groups
AU - Beidar, K.
AU - Ke, W. F.
AU - Liang, S. Y.
N1 - Funding Information:
Acknowledgement: The first author gratefully acknowledges the financial support of the National Science Council of Republic of China and the kind hospitality of National Clieng Kung University, Tainan, Taiwan, R.O.C. We would also like to express our gratitude to the referees for their valuable remarks.
PY - 1995/1
Y1 - 1995/1
N2 - In this paper, the problem of nontrivial nearring multiplications on groups is closely investigated with a different approach. By using the notions of S. 0-acts and the language of model theory, we give a detailed discussion on a large class of groups that possesses nontrivial nearring multiplications. In the last section, we apply our results to the theory of centralizer nearrings of a single endomorphism which is mainly due to the work of C. Maxson and K. Smith [28, 29].
AB - In this paper, the problem of nontrivial nearring multiplications on groups is closely investigated with a different approach. By using the notions of S. 0-acts and the language of model theory, we give a detailed discussion on a large class of groups that possesses nontrivial nearring multiplications. In the last section, we apply our results to the theory of centralizer nearrings of a single endomorphism which is mainly due to the work of C. Maxson and K. Smith [28, 29].
UR - https://www.scopus.com/pages/publications/25844519725
UR - https://www.scopus.com/pages/publications/25844519725#tab=citedBy
U2 - 10.1080/00927879508825264
DO - 10.1080/00927879508825264
M3 - Article
AN - SCOPUS:25844519725
SN - 0092-7872
VL - 23
SP - 999
EP - 1015
JO - Communications in Algebra
JF - Communications in Algebra
IS - 3
ER -