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Paper IPM / M / 148 | ||||||||||||||||||||||
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Abstract: | ||||||||||||||||||||||
In recent years, the algebraic and combinatorial properties
of inclusion matrices of t-subsets versus k-subsets of
a v-set X have been the focus of attention by some authors.
We first make a comparative study of the known bases for the Z-modules
generated by trades (the elements of the null space of these matrices),
and then, by utilizing these bases, we note that a large family
of new bases can by produced.
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