On the Cohen-Macaulay property of monomial ideals in conical algebras Public Deposited

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Last Modified
  • March 21, 2019
Creator
  • Pereira, Joel
    • Affiliation: College of Arts and Sciences, Department of Mathematics
Abstract
  • Cohen-Macaulay rings are an important class of rings in commutative algebra. A ring R is Cohen-Macaulay if depth R = dim R (viewed as a module). This equality of these two invariants gives rise to many important algebraic and geometric results. In this thesis, we will summarize some of these important results. We will also give different methods in calculating the depth of a module and apply them to a special class of rings, the conical algebras. We will also discuss more recent results showing when certain quotients of these conical algebras are Cohen-Macaulay.
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  • In Copyright
Advisor
  • Damon, James
Degree granting institution
  • University of North Carolina at Chapel Hill
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  • Open access
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