## “School of Mathematics”

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Paper   IPM / M / 148
School of Mathematics
Title:   On the bases for trades
Author(s):
 1 G. B. Khosrovshahi 2 Ch. Maysoori
Status:   Published
Journal: Linear Algebra Appl.
Vol.:  226-228
Year:  1995
Pages:   731-748
Supported by:  IPM
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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