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$(- 1)$ -enumeration of self-complementary plane partitions.

Eisenkölbl, Theresia (2005)

The Electronic Journal of Combinatorics [electronic only]

$(δ, 2)$ -primary ideals of a commutative ring

Gülşen Ulucak, Ece Yetkin Çelikel (2020)

Czechoslovak Mathematical Journal

Let $R$ be a commutative ring with nonzero identity, let $ℐ (ℛ)$ be the set of all ideals of $R$ and $δ : ℐ (ℛ) \to ℐ (ℛ)$ an expansion of ideals of $R$ defined by $I \mapsto δ (I)$ . We introduce the concept of $(δ, 2)$ -primary ideals in commutative rings. A proper ideal $I$ of $R$ is called a $(δ, 2)$ -primary ideal if whenever $a, b \in R$ and $a b \in I$ , then $a^{2} \in I$ or $b^{2} \in δ (I)$ . Our purpose is to extend the concept of $2$ -ideals to $(δ, 2)$ -primary ideals of commutative rings. Then we investigate the basic properties of $(δ, 2)$ -primary ideals and also discuss the relations among $(δ, 2)$ -primary, $δ$ -primary and...

2-enumerations of halved alternating sign matrices.

Eisenkölbl, Theresia (2001)

Séminaire Lotharingien de Combinatoire [electronic only]

321-polygon-avoiding permutations and Chebyshev polynomials.

Mansour, Toufik, Stankova, Zvezdelina (2003)

The Electronic Journal of Combinatorics [electronic only]

A bijection between 3-Motzkin paths and Schröder paths with no peak at odd.

Shapiro, Louis W., Wang, Carol J. (2009)

Journal of Integer Sequences [electronic only]

A bijection between planar constellations and some colored Lagrangian trees.

Chauve, Cedric (2003)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

A bijection on Dyck paths and its cycle structure.

Callan, David (2007)

The Electronic Journal of Combinatorics [electronic only]

A bijective proof of the hook-content formula for super Schur functions and a modified jeu de taquin.

Krattenthaler, C. (1996)

The Electronic Journal of Combinatorics [electronic only]

A Catalan transform and related transformations on integer sequences.

Barry, Paul (2005)

Journal of Integer Sequences [electronic only]

A census of vertices by generations in regular tessellations of the plane.

Paul, Alice, Pippenger, Nicholas (2011)

The Electronic Journal of Combinatorics [electronic only]

A chaotic cousin of Conway's recursive sequence.

Pinn, Klaus (2000)

Experimental Mathematics

A Characterization of Multidimensional $S$ -Automatic Sequences

Emilie Charlier, Tomi Kärki, Michel Rigo (2009)

Actes des rencontres du CIRM

An infinite word is $S$ -automatic if, for all $n \geq 0$ , its $(n + 1)$ st letter is the output of a deterministic automaton fed with the representation of $n$ in the considered numeration system $S$ . In this extended abstract, we consider an analogous definition in a multidimensional setting and present the connection to the shape-symmetric infinite words introduced by Arnaud Maes. More precisely, for $d \geq 2$ , we state that a multidimensional infinite word $x : ℕ^{d} \to Σ$ over a finite alphabet $Σ$ is $S$ -automatic for some abstract numeration...

Currently displaying 1 – 20 of 852

Page 1 Next

Displaying 1 – 20 of 852

$(- 1)$ -enumeration of self-complementary plane partitions.

$(δ, 2)$ -primary ideals of a commutative ring

2-enumerations of halved alternating sign matrices.

321-polygon-avoiding permutations and Chebyshev polynomials.

A bijection between 3-Motzkin paths and Schröder paths with no peak at odd.

A bijection between planar constellations and some colored Lagrangian trees.

A bijection on Dyck paths and its cycle structure.

A bijective proof of the hook-content formula for super Schur functions and a modified jeu de taquin.

A Catalan transform and related transformations on integer sequences.

A census of vertices by generations in regular tessellations of the plane.

A chaotic cousin of Conway's recursive sequence.

A Characterization of Multidimensional $S$ -Automatic Sequences

A closed formula for the number of convex permutominoes.

A closer look at lattice points in rational simplices.

A colorful involution for the generating function for signed Stirling numbers of the first kind.

A combinatorial derivation of the number of labeled forests.

A combinatorial derivation with Schröder paths of a determinant representation of Laurent biorthogonal polynomials.

A combinatorial interpretation for a super-Catalan recurrence.

A combinatorial interpretation for an identity of Barrucand.

A combinatorial interpretation for certain relatives of the Conolly sequence.

Currently displaying 1 – 20 of 852