Found 94 Documents (Results 1–94)
Barile-Macchia resolutions. (English) Zbl 07815460
Simplicial resolutions of powers of square-free monomial ideals. (English) Zbl 1534.13006
Reviewer: Mehrdad Nasernejad (Lens)
Asymmetric tropical distances and power diagrams. (English) Zbl 07811521
Reviewer: Cristhian Garay (Guanajuato)
Klyachko diagrams of monomial ideals. (English) Zbl 1532.13027
Reviewer: Justyna Szpond (Kraków)
A Taylor resolution over complete intersections. (English) Zbl 1527.13015
Reviewer: Jorge Sentiero Neves (Coimbra)
A study of a family of monomial ideals. (English) Zbl 1507.13010
Reviewer: Niels Lubbes (Linz)
An equivariant Hochster’s formula for \(\mathfrak{S}_n\)-invariant monomial ideals. (English) Zbl 1523.13023
Reviewer: S. A. Seyed Fakhari (Tehran)
Simplicial resolutions for the second power of square-free monomial ideals. (English) Zbl 1496.13031
Miller, Claudia (ed.) et al., Women in commutative algebra. Proceedings of the 2019 WICA workshop, Banff, Alberta, Canada, October 20–25, 2019. Cham: Springer. Assoc. Women Math. Ser. 29, 193-205 (2022).
Powers of graphs & applications to resolutions of powers of monomial ideals. (English) Zbl 1494.13024
Reviewer: Tongsuo Wu (Shanghai)
Morse resolutions of powers of square-free monomial ideals of projective dimension one. (English) Zbl 1487.13003
Reviewer: Jorge Neves (Coimbra)
Minimal free resolutions of certain equigenerated monomial ideals. (English) Zbl 1478.13025
Reviewer: Eduardo Saenz-de-Cabezon (Logroño)
Stanley-Reisner rings. (English) Zbl 1505.13030
Peeva, Irena (ed.), Commutative algebra. Expository papers dedicated to David Eisenbud on the occasion of his 75th birthday. Cham: Springer. 317-341 (2021).
Reviewer: Fahimeh Khosh-Ahang Ghasr (Ilam)
Generalized Newton complementary duals of monomial ideals. (English) Zbl 1462.13011
Reviewer: Jorge Neves (Coimbra)
Virtual resolutions of monomial ideals on toric varieties. (English) Zbl 1472.13027
Reviewer: S. A. Seyed Fakhari (Tehran)
Regularity of \(\mathfrak{S}_n\)-invariant monomial ideals. (English) Zbl 1453.13055
Reviewer: Eduardo Saenz-de-Cabezon (Logroño)
MSC:
13D45
Minimal cellular resolutions of the edge ideals of forests. (English) Zbl 1472.13012
Reviewer: Anda-Georgina Olteanu (Constanţa)
A note on the singularities of residue currents of integrally closed ideals. (English) Zbl 1439.13028
Pruned cellular free resolutions of monomial ideals. (English) Zbl 1452.13021
Reviewer: Amir Mafi (Sanandaj and Tehran)
Monomial resolutions for efficient computation of simplicial homology. (English) Zbl 1467.13029
Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 50-57 (2019).
The uniform face ideals of a simplicial complex. (English) Zbl 1420.13050
Reviewer: Hero Saremi (Sanandaj)
Minimal free resolutions of monomial ideals and of toric rings are supported on posets. (English) Zbl 1471.13030
CW-resolutions of monomial ideals that are supported on face posets. (English) Zbl 1409.13032
Reviewer: Susan Morey (San Marcos)
The Cohen-Macaulayness of the bounded complex of an affine oriented matroid. (English) Zbl 1385.05030
Computing the Betti table of a monomial ideal: a reduction algorithm. (English) Zbl 1390.13045
Reviewer: Sarah Mayes-Tang (Toronto)
Combinatorics and algebra of geometric subdivision operations. (English) Zbl 1369.05225
Bigatti, Anna M. (ed.) et al., Computations and combinatorics in commutative algebra. EACA school, Valladolid, Spain, 2013. Cham: Springer (ISBN 978-3-319-51318-8/pbk; 978-3-319-51319-5/ebook). Lecture Notes in Mathematics 2176, 77-122 (2017).
Reviewer: S. A. Seyed Fakhari (Tehran)
On a representation of the fundamental class of an ideal due to Lejeune-Jalabert. (English. French summary) Zbl 1374.13030
Reviewer: Amir Mafi (Sanandaj and Tehran)
Combinatorial and geometric view of the system reliability theory. (English) Zbl 1437.90068
Greuel, Gert-Martin (ed.) et al., Mathematical software – ICMS 2016. 5th international conference, Berlin, Germany, July 11–14, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9725, 148-153 (2016).
Face rings of cycles, associahedra, and standard Young tableaux. (English) Zbl 1344.05150
MSC:
05E10
Divisors on graphs, binomial and monomial ideals, and cellular resolutions. (English) Zbl 1336.05060
Explicit deformation of lattice ideals via chip-firing games on directed graphs. (English) Zbl 1328.05119
Cellular structure for the Herzog-Takayama resolution. (English) Zbl 1311.13014
Reviewer: S. A. Seyed Fakhari (Tehran)
On CW complexes supporting Eliahou-Kervaire type resolutions of Borel fixed ideals. (English) Zbl 1315.13026
Reviewer: S. A. Seyed Fakhari (Tehran)
Rigid monomial ideals. (English) Zbl 1295.13020
Reviewer: S. A. Seyed Fakhari (Tehran)
MSC:
13D02
Alexander duals of multipermutohedron ideals. (English) Zbl 1297.13026
Reviewer: Somayeh Bandari (Tehran)
Computing residue currents of monomial ideals using comparison formulas. (English) Zbl 1296.32002
Reviewer: Jean Ruppenthal (Wuppertal)
Cellular resolutions of ideals defined by nondegenerate simplicial homomorphisms. (English) Zbl 1406.13012
Tropical types and associated cellular resolutions. (English) Zbl 1316.14116
MSC:
14T05
13D02
Cellular resolutions of noncommutative toric algebras from superpotentials. (English) Zbl 1280.16023
Cellular resolutions of cointerval ideals. (English) Zbl 1246.13015
Reviewer: Tai Ha (New Orleans)
Frames and degenerations of monomial resolutions. (English) Zbl 1221.13024
Reviewer: Tai Ha (New Orleans)
On the generalized Scarf complex of lattice ideals. (English) Zbl 1194.13016
Reviewer: Marcel Morales (Saint-Martin-d’Heres)
Betti numbers of chordal graphs and \(f\)-vectors of simplicial complexes. (English) Zbl 1184.13060
MSC:
13F55
Reverse search for monomial ideals. (English) Zbl 1221.13037
Reviewer: Mitsuhiro Miyazaki (Kyoto)
Betti numbers of hypergraphs. (English) Zbl 1191.13015
Reviewer: Ulrich Knauer (Oldenburg)
Specializations of Ferrers ideals. (English) Zbl 1179.13008
Reviewer: Emanuela De Negri (Genova)
The minimal free resolution of a Borel ideal. (English) Zbl 1155.13010
Reviewer: Emanuela De Negri (Genova)
On Borel fixed ideals generated in one degree. (English) Zbl 1153.13012
Reviewer: Marcel Morales (Saint-Martin-d’Heres)
Examples of generic lattice ideals of codimension 3. (English) Zbl 1133.13014
Reviewer: Anargyros Katsabekis (Nicosia)
Minimal free resolutions that are not supported by a CW-complex. (English) Zbl 1133.13015
Reviewer: Anargyros Katsabekis (Nicosia)
Residue currents with prescribed annihilator ideals. (English) Zbl 1143.32003
Reviewer: Vasily A. Chernecky (Odessa)
Linear resolutions of quadratic monomial ideals. (English) Zbl 1142.13011
Reviewer: Yukihide Takayama (Shiga)
Enriched homology and cohomology modules of simplicial complexes. (English) Zbl 1119.13013
Reviewer: Henrik Holm (Copenhagen)
MSC:
13D25
13F55
Representations of matroids and free resolutions for multigraded modules. (English) Zbl 1116.13010
Reviewer: Mihai Cipu (Bucureşti)
Minimal free resolutions of complete bipartite graph ideals. (English) Zbl 1112.13031
Reviewer: Hans-Gert Gräbe (Leipzig)
MSC:
13P10
Monomial ideals arising from distributive lattices. (English) Zbl 1105.13013
Reviewer: Daniel D. Anderson (Iowa City)
The monomial ideal of a finite meet-semilattice. (English) Zbl 1096.13016
Reviewer: Marius Tarnauceanu (Iaşi)
Characteristic-independence of Betti numbers of graph ideals. (English) Zbl 1102.13024
Reviewer: Vittoria Bonanzinga (Reggio Calabria)
Distributive lattices, bipartite graphs and Alexander duality. (English) Zbl 1090.13017
Reviewer: Vittoria Bonanzinga (Reggio Calabria)
On the hull resolution of an affine monomial curve. (English) Zbl 1079.13007
Reviewer: Luca Chiantini (Siena)
The minimal free resolution of a class of square-free monomial ideals. (English) Zbl 1058.13008
Reviewer: Mihai Cipu (Bucureşti)
Minimal resolutions of lattice ideals and integer linear programming. (English) Zbl 1094.13017
Reviewer: Alessandro Logar (Trieste)
Short rational generating functions for lattice point problems. (English) Zbl 1017.05008
Reviewer: A.Barvinok and K.Woods (Ann Arbor)
The short resolution of a lattice ideal. (English) Zbl 1038.13009
Reviewer: Daniel D. Anderson (Iowa City)
Lyubeznik’s resolution and rooted complexes. (English) Zbl 1040.13010
Reviewer: John Rosenknop (Berlin)
Syzygies of oriented matroids. (English) Zbl 1022.13002
Reviewer: Joos Heintz (Buenos Aires)
The Alexander duality functors and local duality with monomial support. (English) Zbl 0968.13009
Reviewer: T.Porter (Bangor)
Gröbner basis and free resolution of the ideal of 2-minors of a \(2\times n\) matrix of linear forms. (English) Zbl 0979.13028
Reviewer: Yueh-er Kuo (Knoxville)
Generic and cogeneric monomial ideals. (English) Zbl 0955.13008
Reviewer: Mihai Cipu (Bucureşti)
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