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Persian Mathematics

On the Content of Polynomials Over Semirings and Its Applications

Peyman Nasehpour

About Me & My Math
 
My serious mathematical studies started at the age of 15, as I was fond of generalizing mathematical formulas. For example from the Phytagorean identities 3^2+4^2=5^2 and 5^2+12^2=13^2, I got 3^2+4^2+12^2=13^2 and Finally n^2+(n+1)^2+(n(n+1))^2 = (n(n+1)+1)^2. This is true in every ring with identity.
 
Later I collected this and some other problems in a paper which was published in a Persian mathematical journal. This was my first publication at the age of 19.
 
I entered Shahid Behshti University (before known as National University) department of mathematics in 1993. My main studies in those years were focused on Mathematical Analysis. Being an active student I had three lectures during the B.Sc. program.
 
I was acquainted with Dr. Siamak Yassemi in the last years of the program. During his lectures in modules in Commutative Algebra I found a counterexample for a formula. This has been mentioned in one of his published papers titled Maximal Element of Support.
 
After getting the Bachelor's Degree in 1997 I went to the University of Tehran where Dr. Yassemi was one of the professors in the department of mathematics.
 
It should be mentioned that I stood at the 12th position in the second State Student Scientific Olympiad 1997, among 2836 participants, in the field of mathematics.
 
I got my Master's Degree in pure mathematics in 1999. My thesis is on cancellation ideals and content modules. I loved that three-month period when I worked on my thesis. That was the most serious mathematical research during my academic studies.
 
Content of polynomials was one of the important fields of research at that time. A part of the thesis (Generalization of the cancellation ideals and content of module polynomial rings) has been published in Kyungpook Mathematical Journal with the title M-cancellation Ideals. This was my first academic paper.
 
My curiosity in knowing the fundamentals of mathematics led me to study mathematical logic. I was fortunate to find a good master when I decided to understand the concept of mathematics, logic and the language. I studied Wittgenstein's Philosophy under the supervision of professor Seyyed Abdollah Anwar for eight years. This had important effect on my thought and my mathematics. Also he taught me about Old Modal Logic (Mantegh-e-Jahat) of the Islamic period and Old Theoretical Persian Art Music (Talif-e-Negham and Igha). As you may know music used to be the forth topic of mathematics in ancient times.

I have been teaching mathematics since 1992 sometimes as a university lecturer, sometimes as a high school teacher and sometimes as a private tutor, but most of my mathematical activities in the field of training (education) of mathematics has been collaborating with seminars and confrerences in order to popularize mathematics in the society of Iran. Here is what one of my professors says about me:

"He also took an elective course in "mathematics education (teaching method)" with me, in the spring semester of 1996-97. His active participation in this course and his great interest in learning, made me believe that he has a very special talent that should be discovered, and should be nurtured by a suitable learning environment.

In addition, Mr. Nasehpour was my teaching assistant in a nationwide training session of 480 mathematics teachers, for new geometry textbooks for the 2nd and 3rd year of secondary school in Iran (I was curriculum designer and co-authored of these textbooks.) My main reason for asking Mr. Nasehpour to assist me in this national event was his stimulating ideas, and his friendly and very sociable character."

In Sep. 2006 I went to Osnabrück University in Germany to do my PhD in mathematics under the supervision of Prof. Dr. Winfried Bruns and finally on Jan. 27th, 2011, I defended my thesis.

Ostad Abdollah Anwar
Ostad Abdollah Anwar

Prof. Seyyed Abdollah Anwar was born in Tehran, Iran, 1924. He received his high school diplomas in Literature and Mathematics in 1942 and 1943.
 
Also he received his Bachelor's Degrees in Laws, Pure Mathematics, Politics and Economics in 1945, 1946, 1948 and 1949.
 
Then he continued his research and studies personally on the following fields:
Philosophy, Mathematics particularly Mathematical and Modal Logic, Physics, Laws, Politics, Economics, Theology, Religious Jurisprudence, Library Science, History, Tehranology and Genealogy Science.
 
His famous works:
 
List of manuscripts of Iranian national library in ten volumes
Ten volumes books of the very famous Persian dictionary, Dehkhoda dictionary
The very famous book of Khajeh Nasir-al-Din Tusi, Asas-al-Eghtebas and its comment
The very famous book of Abu-Ali-Sina, Shefa in 22 volumes and its comment and comparison with Aristotles works
 
So many articles in different fields
 
He has trained so many students and now his students are very famous in different parts of the world.

My Music, Mathematics and Philosophy Professors

List of Mathematics Journals ISI

Music, Mathematics and Computer Science

The European Mathematical Information Service

Math Jobs: A great website to find information of jobs for mathematicians

Shahid Beheshti (Melli) Alumni Website (Mathematics, Statistics and so on...)

Private Math Tutor in Tehran

MathOverflow.net: A place for mathematicians to ask and answer questions

Tones of documents to download

Research Interests

Algebra (in particular Commutative Algebra)

Computational Mathematics

Theoretical Computer Science (Formal Languages)

Mathematical Analysis

Philosophy (in particular Philosophy of Ordinary Language by Ludwig Josef Johann Wittgenstein & Bertrand Russell and Mathematical Logic)

Relations of Mathematics, Music and Philosophy

My articles

With Siamak Yassemi, M-cancellation ideals, Kyungpook Mathematical Journal, Vol. 40, No. 2, 2000.

P. Nasehpour, Content algebras over commutative rings with zero divisors, arXiv:0807.1835v3, preprint

With Sh. Payrovi, Modules having very few zero-divisors, Communications in Algebra, Volume 38, Issue 9 (2010), Pages 3154 – 3162.

Peyman Nasehpour, Zero-divisors of content algebras, Archivum Mathematicum (Brno), Volume 46, No. 4 (2010), Pages 237 – 249.
 
Peyman Nasehpour, PhD Thesis, University of Osnabrück, 2010.

Peyman Nasehpour, Zero-divisors of semigroup modules, Kyungpook Math. Journal, Volume 51, 2011, Pages 37-42.
 
With Neil Epstein, Zero-divisor graph of nilpotent-free semigroups, to appear in Journal of Algebraic Combinatorics.

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Dr. Peyman Nasehpour and Prof. Winfried Bruns

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Prof. Winfried Bruns Prof. Tim Römer Dr. Peyman Nasehpour

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Dr. Peyman Nasehpour Prof. Winfried Bruns Prof. Siamak Yassemi

Professor Winfried Bruns
Professor Winfried Bruns

Prof. Dr. Winfried Bruns

German Mathematician. I was lucky to meet him at IPM in an international workshop on homological methods in commutative algebra, May 25-31, 2002, Tehran-IRAN. I was one of the local organizers of the workshop. Later I did my PhD thesis under his supervision and defended my PhD thesis in Jan. 27th, 2011.

Prof. Herzog (German Algebraist) & Peyman at IPM
Prof. Herzog (German Algebraist) & me at IPM

Prof. Dr. Jürgen Herzog: German algebraist. I was fortunate to meet him at IPM in an international workshop on homological methods in commutative algebra, May 25-31, 2002, Tehran-IRAN. I was one of the local organizers of the workshop.

Prof. Siamak Yassemi: Iranian Commutative Algebraist

Prof. Irena Swanson (very active commutative algebraist)

Dr. Neil Epstein: Commutative Algebraist - Currently an Assistant Professor in George Mason University

Prof. Muhammad Zafrullah (Multiplicative Ideal Theory)

CommAlg.org - A Center for Commutative Algebra

Commutative Algebra Group: Commutative Algebra Group is a group at Yahoo Groups established by Peyman Nasehpour (moderator). Anybody who is interested in CommAlg can join to this group.

Prof. Joseph Gubeladze: San Francisco based mathematician (K-Theory, CommAlg, Polytopes etc)

Doz. Dr. Peter Schenzel (Computer Graphics)

The International Electronic Journal of Algebra (IEJA)

Rocky Mountain Mathematics Consortium: Journal of Commutative Algebra

Compliant archive of electronic preprints in physics, mathematics, computer science, and non-linear sciences

Prof. Bruce Sagan: US based mathematician and musician. He has established a Yahoo group discussion forum for those interested in Scandinavian folk music, folk dance and related traditional arts.

Dr. Saeed Salehi: A very good and kind friend of mine, PhD of mathematics. He stood at the first position in the second State Student Scientific Olympiad 1997, among 2836 participants, in the field of mathematics. I am proud of meeting him in my life.
 
Dr. Mohammad Reza Pournaki: Iranian mathematician (Group theorist and so on...). His website is very informative with lots of great links.

Scirus Scientific Search EngineScirus was voted Best Specialty Search Engine in the prestigious Search Engine Watch Awards in both 2001 and 2002.

Mathematics, math, geometry, Math, science, applied mathematics, pure mathematics, mathematicians, mathematics, number theory, Department of Mathematics, quantity, computer science, axioms, courses, relationships, logic, proof, instructor, notation

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Official Website of Dr. Peyman Nasehpour - Mathematician and Musician

Rhythmic Structure in Iranian Music