SelectedWorks - Saeed Nasseh

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Selected Works of Saeed Nasseh

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Saeed Nasseh is a Associate Professor in the Department of Mathematical Science at Georgia Southern University. He joined Georgia Southern in 2014.

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About Saeed Nasseh

Saeed Nasseh is a Associate Professor in the Department of Mathematical Science at Georgia Southern University. He joined Georgia Southern in 2014.

Geometric Aspects of Representation Theory for DG Algebras: Answering a ...

Journal of the London Mathematical Society (2017)

Saeed Nasseh and Sean Sather-Wagstaff

We apply geometric techniques from representation theory to the study of homologically finite differential graded (DG) modules M over a ...

Structure of Irreducible Homomorphisms to/from Free Modules

Algebras and Representation Theory (2017)

Saeed Nasseh and Ryo Takahashi

The primary goal of this paper is to investigate the structure of irreducible monomorphisms to and irreducible epimorphisms from finitely ...

Vanishing of Ext and Tor Over Fiber Products

Proceedings of the American Mathematical Society (2017)

Saeed Nasseh and Sean Sather-Wagstaff

Consider a non-trivial fiber product R=S×kT of local rings S, T with common residue field k. Given two finitely generate ...

Extension Groups for DG Modules

Communications in Algebra (2016)

Saeed Nasseh and Sean Sather-Wagstaff

Let M and N be differential graded (DG) modules over a positively graded commutative DG algebra A. We show that ...

Contracting Endomorphisms and Dualizing Complexes

Czechoslovak Mathematical Journal (2015)

Saeed Nasseh and Sean Sather-Wagstaff

We investigate how one can detect the dualizing property for a chain complex over a commutative local Noetherian ring R. ...

Cohen Factorizations: Weak Functoriality and Applications

Journal of Pure and Applied Algebra (2015)

Saeed Nasseh and Sean Sather-Wagstaff

We investigate Cohen factorizations of local ring homomorphisms from three perspectives. First, we prove a “weak functoriality” result for Cohen ...

On the Generalized Auslander-Reiten Conjecture under Certain Ring Extensions

Canadian Mathematical Bulletin (2015)

We show under some conditions that a Gorenstein ring R satisfies the Generalized Auslander-Reiten Conjecture if and only if so ...

Determinants of Incidence and Hessian Matrices Arising from the Vector ...

Journal of Commutative Algebra (2014)

Saeed Nasseh, Alexandra Seceleanu and Junzo Watanabe

We give explicit formulas for the determinants of the incidence and Hessian matrices arising from the interaction between the rank ...

A Note on Symmetry in the Vanishing of Ext

Rocky Mountain Journal of Mathematics (2013)

Saeed Nasseh and Massoud Tousi

In [1] Avramov and Buchweitz proved that for finitely generated modules M and N over a complete intersection local ring ...

Liftings and Quasi-Liftings of DG Modules

Journal of Algebra (2013)

Saeed Nasseh and Sean Sather-Wagstaff

We prove lifting results for DG modules that are akin to Auslander, Ding, and Solbergʼs famous lifting results for modules.

Research Articles - Preprint (3)

On Gorenstein Fiber Products and Applications

arXIV.org Repository (2017)

Saeed Nasseh, Ryo Takahashi and Keller VandeBogert

We show that a non-trivial fiber product S×kT of commutative noetherian local rings S,T with a common residue field k ...

Homology Over Trivial Extensions of Commutative DG Algebras

arXIV.org Repository (2015)

Luchezar L. Avramov, Srikanth B. Iyengar, Saeed Nasseh and Sean Sather-Wagstaff

Conditions on the Koszul complex of a noetherian local ring R guarantee that TorRi(M,N) is non-zero for infinitely many i, ...

Local Rings of Embedding Codepth at Most 3 Have Only ...

arXIV.org Repository (2013)

Saeed Nasseh and Sean Sather-Wagstaff

We prove that a local ring R of embedding codepth at most 3 has at most two semidualizing complexes up ...

Mathematical Writing Assignment for Deeper Understanding and Process Writing

DQP Assignment Library (2016)

Colton Magnant, Saeed Nasseh and Teresa Flateby

Brief Description: The broad goals of this writing assignment are two-fold: 1) To delve deeper into the inner workings of ...

DG Homological Algebra and Vanishing of (Co)homology over Local ...

Spring Southeastern Section Meeting of the American Mathematical Society (2016)

We will talk about the vanishing of Tor over trivial extensions of DG algebras and its applications in commutative ring ...

AB Rings And Homogenization Functor

2015 Fall Western Section Meeting of the AMS (2015)

Saeed Nasseh and Yuji Yoshino

In this talk, we define the homogenization of a module over a Z-graded commutative noetherian ring and discuss some problems ...

Vanishing of Tor over Trivial Extensions of DG Algebras and ...

Special Session on Homological Methods in Algebra, Spring Central Section Meeting of the American Mathematical Society, Texas Tech University (2014)

Saeed Nasseh and Sean Sather-Wagstaff

In this talk we discuss some applications of the vanishing of Tor over certain trivial extensions of DG algebras. In ...

DG Homological Algebra: Application to a Question in Commutative Algebra

Commutative Algebra and Algebraic Geometry, The 14th Union College Math Conference, Union College (2013)

A finitely generated module C over a commutative noetherian ring R is semidualizing if HomR(C,C)≅R and Exti>1R(C, C)=0. In this ...

Andre-Quillen Homology and Complete Intersection Dimensions

Special Session on Recent Advances on Commutative Algebra and Its Applications, Fall Southeastern Section Meeting of the American Mathematical Society, University of Louisville (2013)

Saeed Nasseh and Tirdad Sharif

This talk is about the relation between the vanishing of Andre-Quillen homology and complete intersection dimensions, and its applications

Department of Mathematical Sciences Colloquium

Georgia Southern University (2013)

Department of Mathematics Colloquium

University of Nebraska-Lincoln (2013)

Cohen Factorizations and Applications

Special Session on Commutative Algebra and Its Environs, Spring Central Section Meeting of the American Mathematical Society, Iowa State University (2013)

Saeed Nasseh and Sean Sather-Wagstaff

We discuss ”weakly functorial properties” of Cohen factorizations. We also use Cohen factorizations to investigate the structure of quasi-deformations of ...

Department of Mathematics & Computer Science Seminar

University of Wisconsin-Superior (2013)

Department of Mathematical Sciences Seminar

Georgia Southern University (2013)

Contracting Endomorphisms and Dualizing Complexes

MSRI: Workshop on Representation Theory, Homological Algebra, and Free Resolutions, University of California-Berkeley (2013)

We investigate how one can detect the dualizing property for a chain complex over a commutative local noetherian ring R. ...