Arbitrary triple systems admitting a multiplicative basis
 
 
Description:  Let T be a triple system of arbitrary dimension, over an arbitrary base field K and in which any identity on the triple product is not supposed. A basis of T is called multiplicative if for any three elements we have that its product is a multiple (coefficient in K) of some element of the same basis. We show that if T admits a multiplicative basis then it decomposes as the orthogonal direct sum of well-described ideals admitting each one a multiplicative basis. Also the minimality of T is characterized in terms of the multiplicative basis and it is shown that, under a mild condition, the above direct sum is by means of the family of its minimal ideals.
Date:  2015-06-18
Start Time:   14:30
Speaker:  José María Sánchez Delgado (Univ. Cadiz, Spain)
Institution:  University of Cadiz
Place:  Room 5.5 DMUC
Research Groups: -Algebra and Combinatorics
See more:   <Main>  
 
© Centre for Mathematics, University of Coimbra, funded by
Science and Technology Foundation
Powered by: rdOnWeb v1.4 | technical support