Factorizations of Elements in Noncommutative Rings: A Survey
From MaRDI portal
Publication:2826751
DOI10.1007/978-3-319-38855-7_15zbMath1356.16029arXiv1507.07487OpenAlexW2277183871MaRDI QIDQ2826751
Publication date: 18 October 2016
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.07487
Divisibility, noncommutative UFDs (16U30) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)
Related Items (15)
Semigroups of non-negative integer-valued matrices ⋮ Finiteness of elasticities of orders in central simple algebras ⋮ Power monoids: a bridge between factorization theory and arithmetic combinatorics ⋮ Sets of Lengths ⋮ Surfaces containing two circles through each point ⋮ Sets of arithmetical invariants in transfer Krull monoids ⋮ On the factorization of non-commutative polynomials (in free associative algebras) ⋮ On noncommutative bounded factorization domains and prime rings ⋮ Arithmetical invariants of local quaternion orders ⋮ Factorizations in Bounded Hereditary Noetherian Prime Rings ⋮ Sets of lengths in atomic unit-cancellative finitely presented monoids ⋮ Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids ⋮ A Factorization Theory for some Free Fields ⋮ Factorization theory in commutative monoids ⋮ A characterization of length-factorial Krull monoids
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Factorization theory: from commutative to noncommutative settings.
- A new look at the Jordan-Hölder theorem for semimodular lattices
- Ore extensions over total valuation rings.
- Number theory of matrix semigroups
- From factorizations of noncommutative polynomials to combinatorial topology.
- Unique factorization of matrices and Towber rings
- Matrix factorizations, exterior powers, and complete intersections
- Anneaux de Krull non commutatifs
- Factorization in hereditary orders
- Right unique factorization domains
- Wedderburn polynomials over division rings. I.
- Height-one prime ideals in semigroup algebras satisfying a polynomial identity
- Quasideterminants
- Factorization in quaternion orders
- Non-commutative Krull monoids: a divisor theoretic approach and their arithmetic.
- Sets of lengths in maximal orders in central simple algebras.
- Factorizations of upper triangular matrices
- Complete reducibility exterior algebras over free modules
- Towber rings
- Über den Zusammenhang zwischen dem Begriff der Gleichartigkeit zweier Ideale und dem Äquivalenzbegriff der Elementarteilertheorie
- NOETHERIAN UNIQUE FACTORIZATION SEMIGROUP ALGEBRAS
- Quantum cluster algebras and quantum nilpotent algebras
- Algebraic andF-Independent Sets in 2-Firs
- Non commutative unique factorization rings
- Two Examples of Principal Ideal Domains
- Non-commutative unique factorization domains
- Non-commutative UFD's are often PID's
- Group rings which are unique factorisation rings
- NONCOMMUTATIVE SYMMETRIC FUNCTIONS AND W-POLYNOMIALS
- Trace rings of generic matrices are unique factorization domains
- Unique factorisation of normal elements in non-commutative rings
- Left Versus Right LCM Domains
- When is F[ x, y a Unique Factorization Domain]
- An Analog of Nagata's Theorem for Modular LCM Domains
- Simplification pour les ordres des corps de quaternions totalement définis.
- Factorization in LCM Domains with Conjugation
- Rings with the right atomic multiple property
- Right-Bounded Factors in an LCM Domain
- Metacommutation of Hurwitz primes
- Cancellation in totally definite quaternion algebras
- Rings With a Weak Algorithm
- Noncommutative Unique Factorization Domains
- Ringe mit eindeutiger Faktorzerlegung.
- Factorization in general rings and strictly cyclic modules.
- Right LCM Domains
- Unique Factorization Domains
This page was built for publication: Factorizations of Elements in Noncommutative Rings: A Survey
