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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.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
José María Sánchez Delgado (Univ. Cadiz, Spain)
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Institution: |
University of Cadiz
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Place: |
Room 5.5 DMUC
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| Research Groups: |
-Algebra and Combinatorics
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See more:
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