Lattices over Bass rings and graph agglomerations
DOI10.1007/s10468-021-10040-2zbMath1487.13002arXiv2006.10002OpenAlexW3136558626MaRDI QIDQ2139542
Nicholas R. Baeth, Daniel Smertnig
Publication date: 18 May 2022
Published in: Algebras and Representation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.10002
Commutative semigroups (20M14) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Structure, classification theorems for modules and ideals in commutative rings (13C05) Cohen-Macaulay modules (13C14) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13)
Related Items
Cites Work
- One-dimensional stable rings
- Multiplicative ideal theory and factorization theory. Commutative and non-commutative perspectives. Selected papers based on the presentations at the meeting `Arithmetic and ideal theory of rings and semigroups', Graz, Austria, September 22--26, 2014
- Monoids of torsion-free modules over rings with finite representation type
- Factoring ideals in integral domains
- Monoids of modules and arithmetic of direct-sum decompositions.
- Cancellation over commutative rings of dimension one and two
- A Krull-Schmidt theorem for one-dimensional rings of finite Cohen-Macaulay type
- Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse)
- Non-unique factorizations of algebraic integers
- Elasticity of factorizations in integral domains
- Power monoids: a bridge between factorization theory and arithmetic combinatorics
- Dedekind-like behavior of rings with 2-generated ideals
- Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids
- Direct-sum decompositions of modules with semilocal endomorphism rings.
- Monoids of modules over rings of infinite Cohen-Macaulay type
- \(K_0\) of a semilocal ring
- Note on edge-disjoint spanning trees and eigenvalues
- Structural properties of subadditive families with applications to factorization theory
- Factorization theory in commutative monoids
- On elasticities of locally finitely generated monoids
- Spanning tree packing number and eigenvalues of graphs with given girth
- On a generalization of the exchange property to modules with semilocal endomorphism rings.
- Sets of arithmetical invariants in transfer Krull monoids
- Local tameness of \(v\)-Noetherian monoids.
- 1-dimensional Cohen-Macaulay rings
- On the ubiquity of Gorenstein rings
- Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group
- Ten Problems on Stability of Domains
- Big projective modules over noetherian semilocal rings
- Sets of Lengths
- Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules
- Arboricity and spanning‐tree packing in random graphs
- Direct-sum decompositions of modules with semilocal endomorphism rings
- Krull-Schmidt theorems in dimension 1
- Package deal theorems and splitting orders in dimension 1
- Factorization Theory and Decompositions of Modules
- On the arithmetic of stable domains
- Semilocal Categories and Modules with Semilocal Endomorphism Rings
- A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems
- On the spanning tree packing number of a graph: A survey
- Direct-sum decompositions over local rings
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
