Results 1 to 10 of about 533 (46)

Irreducible Jacobian derivations in positive characteristic

open access: yesOpen Mathematics, 2014
We prove that an irreducible polynomial derivation in positive characteristic is a Jacobian derivation if and only if there exists an n-1-element p-basis of its ring of constants. In the case of two variables we characterize these derivations in terms of
Jędrzejewicz Piotr
doaj   +3 more sources

On 2r-ideals in commutative rings with zero-divisors

open access: yesOpen Mathematics, 2023
In this article, we are interested in uniformly prpr-ideals with order ≤2\le 2 (which we call 2r2r-ideals) introduced by Rabia Üregen in [On uniformly pr-ideals in commutative rings, Turkish J. Math. 43 (2019), no. 4, 18781886]. Several characterizations
Alhazmy Khaled   +3 more
doaj   +1 more source

When are the natural embeddings of classical invariant rings pure?

open access: yesForum of Mathematics, Sigma, 2023
Consider a reductive linear algebraic group G acting linearly on a polynomial ring S over an infinite field; key examples are the general linear group, the symplectic group, the orthogonal group, and the special linear group, with the classical ...
Melvin Hochster   +3 more
doaj   +1 more source

Some Extensions of Generalized Morphic Rings and EM-rings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Let R be a commutative ring with unity. The main objective of this article is to study the relationships between PP-rings, generalized morphic rings and EM-rings. Although PP-rings are included in the later rings, the converse is not in general true.
Ghanem Manal, Abu Osba Emad
doaj   +1 more source

A construction of integer-valued polynomials with prescribed sets of lengths of factorizations [PDF]

open access: yes, 2013
For an arbitrary finite set S of natural numbers greater 1, we construct an integer-valued polynomial f, whose set of lengths in Int(Z) is S. The set of lengths of f is the set of all natural numbers n, such that f has a factorization as a product of n ...
Ch Frei   +4 more
core   +2 more sources

From Pappus Theorem to parameter spaces of some extremal line point configurations and applications [PDF]

open access: yes, 2016
In the present work we study parameter spaces of two line point configurations introduced by B\"or\"oczky. These configurations are extremal from the point of view of Dirac-Motzkin Conjecture settled recently by Green and Tao.
Lampa-Baczynska, Magdalena   +1 more
core   +2 more sources

On algebraic characterization of SSC of the Jahangir’s graph 𝓙n,m

open access: yesOpen Mathematics, 2018
In this paper, some algebraic and combinatorial characterizations of the spanning simplicial complex Δs(𝓙n,m) of the Jahangir’s graph 𝓙n,m are explored. We show that Δs(𝓙n,m) is pure, present the formula for f-vectors associated to it and hence deduce a ...
Raza Zahid, Kashif Agha, Anwar Imran
doaj   +1 more source

Can a non-local model of gravity reproduce Dark Matter effects in agreement with MOND?

open access: yes, 2013
I analyze the possibility of reproducing MONDian Dark Matter effects by using a non-local model of gravity. The model was used before in order to recreate screening effects for the Cosmological Constant ($\Lambda$) value.
Arraut, Ivan
core   +1 more source

Depth and Stanley depth of the edge ideals of the powers of paths and cycles

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
Let k be a positive integer. We compute depth and Stanley depth of the quotient ring of the edge ideal associated to the kth power of a path on n vertices.
Iqbal Zahid, Ishaq Muhammad
doaj   +1 more source

On Characteristic Poset and Stanley Decomposition

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
Let J ⊂ I be two monomial ideals such that I/J is Cohen Macaulay. By associating a finite posets PI/Jg$P_{I/J}^g$ to I/J, we show that if I/J is a Stanley ideal then I/J˜$\widetilde{I/J}$ is also a Stanley ideal, where I/J˜$\widetilde{I/J}$ is the ...
Ahmad Sarfraz   +2 more
doaj   +1 more source

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