Zobrazeno 1 - 10
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pro vyhledávání: '"Rahmati, Asghar"'
Autor:
Rahim Rahmati-Asghar
Publikováno v:
ریاضی و جامعه, Vol 8, Iss 4, Pp 93-104 (2024)
The above abstract has been extracted by the translator from the original article (J. Klaška, Real-world applications of number theory, South Bohemia Mathematical Letters, 25 no. 1 (2017) 39–47.) The present paper is concerned with practical appl
Externí odkaz:
https://doaj.org/article/6aa4720a0ab04890ae1ff06c268a69f6
On the polymatroidal property of monomial ideals with a view towards orderings of minimal generators
We prove that a monomial ideal $I$ generated in a single degree, is polymatroidal if and only if it has linear quotients with respect to the lexicographical ordering of the minimal generators induced by every ordering of variables. We also conjecture
Externí odkaz:
http://arxiv.org/abs/1808.06438
Autor:
Rahmati-Asghar, Rahim
Let $M$ be a matroid. We study the expansions of $M$ mainly to see how the combinatorial properties of $M$ and its expansions are related to each other. It is shown that $M$ is a graphic, binary or a transversal matroid if and only if an arbitrary ex
Externí odkaz:
http://arxiv.org/abs/1705.09539
Autor:
Rahmati-Asghar, Rahim
We introduce pretty $k$-clean monomial ideals and $k$-decomposable multicomplexes, respectively, as the extensions of the notions of $k$-clean monomial ideals and $k$-decomposable simplicial complexes. We show that a multicomplex $\Gamma$ is $k$-deco
Externí odkaz:
http://arxiv.org/abs/1703.05488
Autor:
Rahmati-Asghar, Rahim
In this paper, we introduce the concept of $k$-clean monomial ideals as an extension of clean monomial ideals and present some homological and combinatorial properties of them. Using the hierarchal structure of $k$-clean ideals, we show that a $(d-1)
Externí odkaz:
http://arxiv.org/abs/1702.07574
Autor:
Moradi, Somayeh, Rahmati-Asghar, Rahim
For a simplicial complex $\Delta$, the affect of the expansion functor on combinatorial properties of $\Delta$ and algebraic properties of its Stanley-Reisner ring has been studied in some previous papers. In this paper, we consider the facet ideal $
Externí odkaz:
http://arxiv.org/abs/1701.04734
Autor:
Rahmati-Asghar, Rahim
In this paper we show that a $k$-shellable simplicial complex is the expansion of a shellable complex. We prove that the face ring of a pure $k$-shellable simplicial complex satisfies the Stanley conjecture. In this way, by applying expansion functor
Externí odkaz:
http://arxiv.org/abs/1701.02868
Autor:
Rahmati-Asghar, Rahim, Moradi, Somayeh
Publikováno v:
Manuscripta Math. 150 (2016), no. 3, 533-545
Let $\Delta$ be a simplicial complex. We study the expansions of $\Delta$ mainly to see how the algebraic and combinatorial properties of $\Delta$ and its expansions are related to each other. It is shown that $\Delta$ is Cohen-Macaulay, sequentially
Externí odkaz:
http://arxiv.org/abs/1511.04676
Autor:
Rahmati-Asghar, Rahim, Yassemi, Siamak
Publikováno v:
Comm. in Algebra. 44, 3874-3889 (2016)
In this paper we study some algebraic and combinatorial behaviors of expansion functor. We show that on monomial ideals some properties like polymatroidalness, weakly polymatroidalness and having linear quotients are preserved under taking the expans
Externí odkaz:
http://arxiv.org/abs/1503.03603
Autor:
Rahmati-Asghar, Rahim
Publikováno v:
Bull. Iranian Math. Soc. Vol. 42, No. 1, pp. 223-232 (2016)
In this paper we show that expansion of a Buchsbaum simplicial complex is $CM_t$, for an optimal integer $t\geq 1$. Also, by imposing extra assumptions on a $CM_t$ simplicial complex, we prove that it can be obtained from a Buchsbaum complex.
Co
Co
Externí odkaz:
http://arxiv.org/abs/1503.03229