Government College University, Lahore

output

20042026

most citedEfficient Merger of Binary Supermassive Black Holes in Merging Galaxies

227 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing math.ACShow all

27 papers · 1 filter

math.AC2019

Rank Bounded Hibi Subrings for Planar Distributive Lattices

Rida Irfan, Nadia Shoukat

Let $L$ be a distributive lattice and $R [L]$ the associated Hibi ring. We show that if $L$ is planar, then any bounded Hibi subring of $R [L]$ has a quadratic Gröbner basis. We char…

math.AC2018★ 12 cited

The $f$ - and $h$ -vectors of Interval Subdivisions

Imran Anwar, Shaheen Nazir

The interval subdivision Int $(Δ)$ of a simplicial complex $Δ$ was introduced by Walker. We give the complete combinatorial description of the entries of the transformation matrices…

math.AC2017

About multiplicities and applications to Bezout numbers

M. Azeem Khadam, Peter Schenzel

Let $(A, m, k)$ denote a local Noetherian ring and $q$ an ideal such that $ℓ_{A} (M / q M) < \infty$ for a finitely generated $A$ -module $M$ . Let $\…

math.AC2017★ 1 cited

About a variation of local cohomology

M. Azeem Khadam, Peter Schenzel

Let $q$ denote an ideal of a local ring $(A, m)$ . For a system of elements $a = a_{1}, \dots, a_{t}$ such that $a_i \in \mathfrak{q}^{c_i}, i = 1, \ldot…

math.AC2017★ 1 cited

An Efficient Algebraic Criterion for Shellability

Imran Anwar, Zunaira Kosar, Shaheen Nazir

In this paper, we give a new and efficient algebraic criterion for the pure as well as non-pure shellability of simplicial complex $Δ$ over [n]. We also give an algebraic character…

math.AC2017★ 3 cited

On Algebraic Characterization of SSC of the Jahangir's Graph $J_{n, m}$

Zahid Raza, Agha Kashif, Imran Anwar

In this paper, some algebraic and combinatorial characterizations of the spanning simplicial complex $Δ_{s} (J_{n, m})$ of the Jahangir's graph $J_{n, m}$ are explor…

math.AC2017

Koszul binomial edge ideals of pairs of graphs

Herolistra Baskoroputro, Viviana Ene, Cristian Ion

We study the Koszul property of a standard graded $K$ -algebra $R$ defined by the binomial edge ideal of a pair of graphs $(G_{1}, G_{2})$ . We show that the following statements are equi…

math.AC2017★ 7 cited

Commutative Rings with Two-Absorbing Factorization

Muzammil Mukhtar, Malik Tusif Ahmed, Tiberiu Dumitrescu

We use the concept of 2-absorbing ideal introduced by Badawi to study those commutative rings in which every proper ideal is a product of 2-absorbing ideals (we call them TAF-rings…

math.AC2017

Nested Artin Strong Approximation Property

Zunaira Kosar, Dorin Popescu

We study the Artin Approximation property with constraints in a different frame. As a consequence we give a nested Artin Strong Approximation property for algebraic power series ri…

math.AC2016★ 6 cited

SP-rings with zero-divisors

Malik Tusif Ahmed, Tiberiu Dumitrescu

We characterize the commutative rings whose ideals (resp. regular ideals) are products of radical ideals.

math.AC2016

An easy proof of the general Neron desingularization in dimension $\leq 1$

Asma Khalid, Zunaira Kosar

In this paper we give an easy proof of the general Neron desingularization in the frame of regular morphism between Artinian local rings and Noetherian local rings of dimension one…

math.AC2014★ 1 cited

Binomial edge ideals and rational normal scrolls

Faryal Chaudhry, Ahmet Dokuyucu, Viviana Ene

Let $X$ be the Hankel matrix of size $2 \times n$ and let $G$ be a closed graph on the vertex set $[n] .$ We study the binomial ideal $I_{G} \subset K [x_{1}, \dots, x_{n + 1}]$ which is gene…

math.AC2013★ 1 cited

On the Betti numbers of some classes of Binomial edge ideals

Zohaib Zahid, Sohail Zafar

We study the Betti numbers of binomial edge ideal associated to some classes of graphs with large Castelnuovo-Mumford regularity. As an application we give several lower bounds of…

math.AC2013★ 1 cited

On the Characterization of f-Ideals

I. Anwar, H. Mahmood, M. A. Binyamin +1

In this paper, we give the complete characterization of f-ideals of degree d greater or equal to 2.

math.AC2012★ 15 cited

The binomial edge ideal of a pair of graphs

Viviana Ene, Jürgen Herzog, Takayuki Hibi +1

We introduce a class of ideals generated by a set of 2-minors of $m \times n$ -matrix of indeterminates indexed by a pair of graphs. This class of ideals is a natural common generali…

math.AC2012★ 51 cited

Ideals generated by 2-minors, collection of cells and stack polyominoes

Ayesha Asloob Qureshi

In this paper we study ideals generated by quite general sets of 2-minors of an $m \times n$ -matrix of indeterminates. The sets of 2-minors are defined by collections of cells and…

math.AC2011★ 2 cited

Stanley depth of edge ideals

Muhammad Ishaq, Muhammad Imran Qureshi

We give an upper bound for the Stanley depth of the edge ideal $I$ of a $k$ -partite complete graph and show that Stanley's conjecture holds for $I$ . Also we give an upper bound for…

math.AC2010★ 5 cited

Lexsegment ideals are sequentially Cohen-Macaulay

Muhammad Ishaq

The associated primes of an arbitrary lexsegment ideal $I \subset S = K [x_{1}, ..., x_{n}]$ are determined. As application it is shown that $S / I$ is a pretty clean module, therefore, $S / I$ …

math.AC2010★ 9 cited

An algorithm for primary decomposition in polynomial rings over the integers

Gerhard Pfister, Afshan Sadiq, Stefan Steidel

We present an algorithm to compute a primary decomposition of an ideal in a polynomial ring over the integers. For this purpose we use algorithms for primary decomposition in polyn…

math.AC2010

Stanley decompositions in localized polynomial rings

Sumiya Nasir, Asia Rauf

We introduce the concept of Stanley decompositions in the localized polynomial ring $S_{f}$ where $f$ is a product of variables, and we show that the Stanley depth does not decrease…

math.AC2010★ 26 cited

Parallelization of Modular Algorithms

Nazeran Idrees, Gerhard Pfister, Stefan Steidel

In this paper we investigate the parallelization of two modular algorithms. In fact, we consider the modular computation of Gröbner bases (resp. standard bases) and the modular com…

math.AC2010★ 3 cited

Upper bounds for the Stanley depth

Muhammad Ishaq

Let $I \subset J$ be monomial ideals of a polynomial algebra $S$ over a field. Then the Stanley depth of $J / I$ is smaller or equal with the Stanley depth of $J / I$ . We…

math.AC2009

Standard Bases over Rings

Afshan Sadiq

The theory of standard bases in polynomial rings with coefficients in a ring R with respect to local orderings is developed. R is a commutative Noetherian ring with 1 and we assume…

math.AC2009★ 1 cited

Computing the Stanley depth

Dorin Popescu, Muhammad Imran Qureshi

Let $Q$ and $Q^{'}$ be two monomial primary ideals of a polynomial algebra $S$ over a field. We give an upper bound for the Stanley depth of $S / (Q \cap Q^{'})$ which is reached if $Q$ ,$Q'…

Rank Bounded Hibi Subrings for Planar Distributive Lattices

The f- and h-vectors of Interval Subdivisions

About multiplicities and applications to Bezout numbers

About a variation of local cohomology

An Efficient Algebraic Criterion for Shellability

On Algebraic Characterization of SSC of the Jahangir's Graph Jn,m​

Koszul binomial edge ideals of pairs of graphs

Commutative Rings with Two-Absorbing Factorization

Nested Artin Strong Approximation Property

SP-rings with zero-divisors

An easy proof of the general Neron desingularization in dimension ≤1

Binomial edge ideals and rational normal scrolls

On the Betti numbers of some classes of Binomial edge ideals

On the Characterization of f-Ideals

The binomial edge ideal of a pair of graphs

Ideals generated by 2-minors, collection of cells and stack polyominoes

Stanley depth of edge ideals

Lexsegment ideals are sequentially Cohen-Macaulay

An algorithm for primary decomposition in polynomial rings over the integers

Stanley decompositions in localized polynomial rings

Parallelization of Modular Algorithms

Upper bounds for the Stanley depth

Standard Bases over Rings

Computing the Stanley depth

The $f$ - and $h$ -vectors of Interval Subdivisions

On Algebraic Characterization of SSC of the Jahangir's Graph $J_{n, m}$

An easy proof of the general Neron desingularization in dimension $\leq 1$