Year: 2025
Type: preprint
Abstract: A poset is Macaulay if its partial order and an additional total order interact well. Analogously, a ring is Macaulay if the partial order defined on its monomials by division interacts nicely with any total monomial order. We investigate methods of obtaining new structures through combining Macaulay rings and posets by means of certain operations inspired by topology. We examine whether these new structures retain the Macaulay property, identifying new classes of posets and rings for which the operations preserve the Macaulay property.
Source: arXiv (Cornell University)
Authors: Beall, Penelope, Boyali, Erenay, Chen, Nancy, Chlachidze, Ellen, Dao, Trong Toan, Garvey, Frederic, Johnson, Mitchell, Li, Yu Olivier, Kuzmanovski, Nikola, Ma, Kelvin, Mal, Treanungkur, Mudiyanselage, Rukshan Marasinghe, Mayo, Quinlan, Minsky-Primus, Nava, Seceleanu, Alexandra, Veerapaneni, Sriram
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funders: Yale University, University of Southern California, University of Notre Dame, University of Nebraska-Lincoln, Iowa State University, Truman State University, University of St Andrews, Indian Statistical Institute, College of Veterinary Medicine, Cornell University, Indiana University Bloomington
Award: G8221422727
OpenAlex ID: W6979330573
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