Rings with lexicographic straightening law

DOI10.1016/0001-8708(81)90028-1zbMath0466.13004OpenAlexW2049161767MaRDI QIDQ1155101

Kenneth Baclawski

Publication date: 1981

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(81)90028-1

zbMATH Keywords

Betti numberCohen-Macaulay propertymultigraded algebraGorenstein propertylexicographic straightening lawlexicographical ringsimplicial complex Stanley- Reisner ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Abstract complexes in algebraic topology (55U05) Other special types of modules and ideals in commutative rings (13C13) Topological properties in algebraic geometry (14F45) Homological methods in commutative ring theory (13D99)

Related Items

Recursive Algorithms for Unitary and Symplectic Group Representations, Some remarks on algebras with straightening laws, A geometrical approach to multiset orderings, Combinatorial methods in the theory of Cohen-Macaulay rings, Combinatorial decompositions of a class of rings, Moduln über Streckungsringen. (Modules over rings with straightening laws), Classical Bruhat orders and lexicographic shellability, Broken circuit complexes: Factorizations and generalizations, Computing combinatorial decompositions of rings, Shellable nonpure complexes and posets. II, Group actions on Stanley-Reisner rings and invariants of permutation groups, A dualizing complex for Stanley–Reisner rings, The Lefschetz property for barycentric subdivisions of shellable complexes, Cohen-Macaulay connectivity and geometric lattices, Canonical modules of partially ordered sets, Square-free Gröbner degenerations, Character generators for unitary and symplectic groups, Combinatorial decompositions of rings and almost Cohen-Macaulay complexes, The lexicographic sum of Cohen-Macaulay and shellable ordered sets, f-vectors and h-vectors of simplicial posets

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