Results 121 to 130 of about 245,402 (215)
Chain algebras of finite distributive lattices [PDF]
We introduce a family of toric algebras defined by maximal chains of a finite distributive lattice. Applying results on stable set polytopes we conclude that every such algebra is normal and Cohen-Macaulay, and give an interpretation of its Krull ...
Gasanova, Oleksandra, +3 more
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Topology of quasi divisor graphs associated with non-associative algebra
Ain Shams Engineering JournalThe visualization of graphs representing algebraic structures has increasingly gained traction in chemical engineering research, emerging as a significant scientific challenge in contemporary studies.
Muhammad Nadeem +4 more
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Geometric and algebraic combinatorics
European Journal of Combinatorics, 2007 Edwin R. van Dam, Willem H. Haemers
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Asymptotics of lattice walks via analytic combinatorics in several variables
, 2016 We consider the enumeration of walks on the two-dimensional non-negative integer lattice with steps defined by a finite set S ⊆ {±1, 0}2 . Up to isomorphism there are 79 unique two-dimensional models to consider, and previous work in this area has used ...
Melczer, S, Wilson, Mark
core
Combinatoric of syzygies for semigroup algebras
Collectanea Mathematica, 1998 We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. More precisely, we make explicit the isomorphism between the Tor groups of the resolution and the Koszul homology. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions.
Campillo, Antonio +3 more
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Physics, Combinatorics and Hopf Algebras
, 2004 A number of problems in theoretical physics share a common nucleus of combinatoric nature. It is argued here that Hopf algebraic concepts and techiques can be particularly efficient in dealing with such problems. As a first example, a brief review is given of the recent work of Connes, Kreimer and collaborators on the algebraic structure of the process
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From Dedekind’s Level 12 Identities to Combinatorial Structures of Colored Partitions
AxiomsThe Dedekind η-function plays an important role in number theory, particularly in the study of modular forms, q-series, and partition identities. In this paper, we investigate several level-12 η-function identities and examine their combinatorial ...
Fatemah Mofarreh +2 more
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Blow-up algebras in Algebra, Geometry and Combinatorics
, 2019 Programa de Doctorat en Matemàtica i ...
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Algebraic Combinatorics of Magic Squares
, 2004 We describe how to construct and enumerate Magic squares, Franklin squares, Magic cubes, and Magic graphs as lattice points inside polyhedral cones using techniques from Algebraic Combinatorics.
Ahmed, Maya Mohsin
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Universality for Taylor coefficients of rational functions under perturbations. [PDF]
Proc Natl Acad Sci U S ABaryshnikov Y, Pemantle R.
europepmc +1 more source