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  1. ; (, Bulletin of the Iranian Mathematical Society)
    Abstract The Burch index is a new invariant of a local ringRwhose positivity implies a kind of linearity in resolutions ofR-modules. We show that ifRhas depth zero and Burch index at least 2, then any non-free 7thR-syzygy contains the residue field as a direct summand. We compute the Burch index in various cases of interest. 
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  2. ; (, Research in the Mathematical Sciences)
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  3. ; ; ; ; ; ; ; ; ; ; et al (, Notices of the American Mathematical Society)
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  4. ; ; (, Journal of Algebra)
    null (Ed.)
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