Factorization properties of quotients of polynomial and power series rings by monomial ideals
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Publication:6495914
DOI10.1080/00927872.2024.2305686MaRDI QIDQ6495914
Shahin Rahimi, Ashkan Nikseresht
Publication date: 2 May 2024
Published in: Communications in Algebra (Search for Journal in Brave)
Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05)
Cites Work
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- A remark on the unique factorization theorem
- Standard bases and some computations in rings of power series
- Power monoids: a bridge between factorization theory and arithmetic combinatorics
- Factorization in commutative rings with zero divisors
- Integral domains and the IDF property
- On the arithmetic of monoids of ideals
- Unique factorization property of non-unique factorization domains. II
- Factorization theory in commutative monoids
- Spontaneous atomicity for polynomial rings with zero-divisors
- FACTORIZATION IN MONOID DOMAINS
- Commutative group rings that are présimplifiable or domainlike
- Non-Unique Factorization of Polynomials Over Residue Class Rings of the Integers
- On Factorization in Modules
- Factorizations in Modules and Splitting Multiplicatively Closed Subsets
- Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules
- Factorization with respect to a divisor-closed multiplicative submonoid of a ring
- On Finite Factorization Rings
- Monomial Ideals
- Unique factorization property of non-unique factorization domains
- Unique factorization in polynomial rings with zero divisors
- On semigroup algebras with rational exponents
- Finite factorization properties in commutative monoid rings with zero divisors
- The monotone catenary degree of monoids of ideals
- Bounded Factorization Rings
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