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- W4306644564 abstract "We use initially regular sequences that consist of linear sums to explore the depth of $$R/I^2$$ , when I is a monomial ideal in a polynomial ring R. We give conditions under which these linear sums form regular or initially regular sequences on $$R/I^2$$ . We then obtain a criterion for when $${{,mathrm{depth},}}R/I^2>1$$ and a lower bound on $${{,mathrm{depth},}}R/I^2$$ ." @default.
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- W4306644564 date "2022-10-17" @default.
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- W4306644564 title "Regular sequences on squares of monomial ideals" @default.
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- W4306644564 doi "https://doi.org/10.1007/s40863-022-00337-5" @default.
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