The Extended Center of Coproducts
- 1 June 1982
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 25 (2) , 245-248
- https://doi.org/10.4153/cmb-1982-036-x
Abstract
The sole purpose of this paper is to prove that if R1 and R2 are algebras with 1 over a common field F, with each (Ri:F) > 1 and at least one (Ri:F) > 2, then the extended center of the coproduct R1∐R2 is equal to F.Keywords
This publication has 3 references indexed in Scilit:
- The primitivity of free products of associative algebrasJournal of Algebra, 1978
- Modules over coproducts of ringsTransactions of the American Mathematical Society, 1974
- Prime rings satisfying a generalized polynomial identityJournal of Algebra, 1969