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Abstract
In the present paper we give new properties on the Peirce decomposition for principal train algebras and we study for first time the Peirce decomposition for plenary train algebras. Next, we show interesting and important open problems for train algebras. In particular, an old problem for genetic algebras is solved. Thus, we prove that every genetic algebra is plenary train algebra.
∗This paper was partially supported by FAPESP of Brazil, proc. 1996/8956-9 and DGICYT of Spain, proc. PB94-1311-C03-01. Author was partially supported by a grant from the ‘Plan de Formation del Personal Investigador’, DGICYT
∗This paper was partially supported by FAPESP of Brazil, proc. 1996/8956-9 and DGICYT of Spain, proc. PB94-1311-C03-01. Author was partially supported by a grant from the ‘Plan de Formation del Personal Investigador’, DGICYT
Notes
∗This paper was partially supported by FAPESP of Brazil, proc. 1996/8956-9 and DGICYT of Spain, proc. PB94-1311-C03-01. Author was partially supported by a grant from the ‘Plan de Formation del Personal Investigador’, DGICYT