Ohio University Center of Ring Theory and its Applications

Ohio University Center of Ring Theory and its Applications The Ohio University Center for Ring Theory and its Applications seeks to further the study of this area of mathematics by promoting collaboration and communication among scholars all over the world.
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Operating as usual

Our doctoral graduates for 2021.
04/30/2021

Our doctoral graduates for 2021.

A few screenshots of my lecture for OSU one week ago. Thanks, Sanjeev, for the photos.
04/19/2021

A few screenshots of my lecture for OSU one week ago. Thanks, Sanjeev, for the photos.

A few screenshots of my lecture for OSU one week ago. Thanks, Sanjeev, for the photos.

1999 International Conference on Algebra and its Applications in Athens, Ohio.
04/16/2021

1999 International Conference on Algebra and its Applications in Athens, Ohio.

1999 International Conference on Algebra and its Applications in Athens, Ohio.

04/14/2021

Congratulations, Majed Zailaee, for being the recipient of a 2021 Charles J. Ping leadership award.

Join the celebration!  Honorees include OUCRA doctoral student Majeed Majed Zailaee!
04/14/2021
TONIGHT at 6 p.m. – Leadership Awards

Join the celebration! Honorees include OUCRA doctoral student Majeed Majed Zailaee!

Join us to recognize outstanding student leadership at OHIO ohio.edu/leadership-awards The countdown is on for the 38th Annual Leadership Awards Join the Divisions of Student Affairs and Diversity & Inclusion for a celebration of the connectivity, adaptability, and strength of our student leaders. T...

A model showing the crystallographic group and 21 group elements from which a counterexample disproving group theory’s 8...
04/14/2021
Crystallographic Group - Kaplansky Conjecture - 3D model by Quanta Magazine [d29b5c4] - Sketchfab

A model showing the crystallographic group and 21 group elements from which a counterexample disproving group theory’s 80-year-old unit conjecture has been discovered. https://skfb.ly/onw8Z

A model showing the crystallographic group and 21 group elements from which a counterexample disproving group theory’s 80-year-old unit conjecture has been discovered. Read the article: Mathematician Disproves 80-Year-Old Algebra Conjecture Design by Olena Shmahalo/Quanta Magazine; source: Giles G...

OUCRA alum Professor Steve Szabo, of Eastern Kentucky University, was the premier speaker for a series of virtual semina...
04/13/2021

OUCRA alum Professor Steve Szabo, of Eastern Kentucky University, was the premier speaker for a series of virtual seminars at Universidad Autonoma Metropolitana de Mexico.

De la Primera sesión de pláticas virtuales en las Tardes de Café y Álgebra, con el Dr. Steve Szabo.
Vídeo en Youtube: https://youtu.be/mQnbRjT9JaY

04/12/2021

Tomorrow, April 13th, at 5pm EST, Dr. Ashley Pallone will give a talk as part of the Kutztown University Association for Women in Mathematics Virtual Lecture Series.

Title: Entangled Polynomials
Zoom ID: 964 4012 0430

04/12/2021

Tomorrow, April 13th, at 5pm EST, Dr. Ashley Pallone will give a talk as part of the Kutztown University Association for Women in Mathematics Virtual Lecture Series.

Title: Entangled Polynomials
Zoom ID: 964 4012 0430

04/12/2021
Join our Cloud HD Video Meeting

Join our Cloud HD Video Meeting

Zoom is the leader in modern enterprise video communications, with an easy, reliable cloud platform for video and audio conferencing, chat, and webinars across mobile, desktop, and room systems. Zoom Rooms is the original software-based conference room solution used around the world in board, confer...

Class of 2021 | Dr. Henry Chimal-Dzul: From Mexico to Athens to Zurich - Ohio University | College of Arts & Sciences
04/10/2021
Class of 2021 | Dr. Henry Chimal-Dzul: From Mexico to Athens to Zurich - Ohio University | College of Arts & Sciences

Class of 2021 | Dr. Henry Chimal-Dzul: From Mexico to Athens to Zurich - Ohio University | College of Arts & Sciences

Henry Chimal-Dzul, an international student from Mexico, graduates this spring with a Ph.D. in Mathematics. His next step is Switzerland. In Mexico, Chimal-Dzul earned a bachelor’s degree and a master’s degree in mathematics. This spring, he earns his doctoral hood, a piece of academic regalia t...

04/09/2021
Join our Cloud HD Video Meeting

Join our Cloud HD Video Meeting

Zoom is the leader in modern enterprise video communications, with an easy, reliable cloud platform for video and audio conferencing, chat, and webinars across mobile, desktop, and room systems. Zoom Rooms is the original software-based conference room solution used around the world in board, confer...

04/06/2021

I'm not saying this is how *I* feel about quaternions... just saying it's a tempting nomenclature.

(in collaboration with the good folks at Art of Problem Solving)

Congratulations to our doctoral graduate Ashley Pallone for accepting a Teaching Assistant Professor position at Penn St...
04/05/2021

Congratulations to our doctoral graduate Ashley Pallone for accepting a Teaching Assistant Professor position at Penn State university. Best wishes for a brilliant career!

Congratulations to our doctoral graduate Ashley Pallone for accepting a Teaching Assistant Professor position at Penn State university. Best wishes for a brilliant career!

Congratulations to our doctoral graduate Henry Chimal-Dzul for accepting a postdoctoral appointment at University of Zur...
04/05/2021

Congratulations to our doctoral graduate Henry Chimal-Dzul for accepting a postdoctoral appointment at University of Zurich. A nice sendoff for a promising career!

Congratulations to our doctoral graduate Henry Chimal-Dzul for accepting a postdoctoral appointment at University of Zurich. A nice sendoff for a promising career!

Congratulations to our recent doctoral graduate Erik Hieta-Aho for accepting a a postdoc position at Aalto University in...
04/05/2021

Congratulations to our recent doctoral graduate Erik Hieta-Aho for accepting a a postdoc position at Aalto University in Finland. Best wishes, Dr. Hieta-Aho!

Congratulations to our recent doctoral graduate Erik Hieta-Aho for accepting a a postdoc position at Aalto University in Finland. Best wishes, Dr. Hieta-Aho!

03/29/2021

The next installment of the OUOSU ring theory seminar will be on Friday, April 9, at 3:00 pm (Ohio time.)

Join Zoom Meeting: https://osu.zoom.us/j/97614086322?pwd=SnJWYStwVC9KYzZhbzdDZWtiRU5HQT09
Meeting ID: 976 1408 6322Password: 314159One tap mobile
+16468769923,,97614086322#,,,,0#,,314159# US (New York)

+16513728299,,97614086322#,,,,0#,,314159# US (Minnesota)

Speaker: ENGİN BÜYÜKAŞIK, Izmir Institute of Technology.
Title: ON SIMPLE-DIRECT MODULES
Abstract:
A right module M is called direct-injective (or C2) if every submodule isomorphic to a summand of M is itself a summand. Dually, a module M is called direct-projective (or D2) if for every submodule N of M with M/N isomorphic to summand of M, then N is a summand of M. Recently, in a series of papers “simple” versions of the aforementioned modules have been investigated ([3], [4], [5]). These modules are termed as “simple-direct-injective” and
“simple-direct-projective,” respectively.
In this talk, we shall discuss the structure of these modules over certain rings including the ring of integers. Besides, it will be shown that the rings whose simple-direct-injective right modules are simple-direct-projective are exactly the left perfect right H-rings, and that, for a commutative Noetherian ring, simple-direct-projective modules are simple-direct-injective if and only if simple-direct-injective modules are simple-direct-projective if and only if the ring is Artinian. These results are recently appeared in [1].

References
[1] B¨uy¨uka¸sık, E., Demir, O., Diril, M. (2021). On simple-direct modules. ¨ Comm. Algebra 49:864-876.
[2] Camillo, V. (1978). Homological independence of injective hulls of simple modules over commutative rings,
Comm. Algebra 6:1459-1469.
[3] Camillo, V., Ibrahim, Y., Yousif, M., Zhou, Y. (2014). Simple-direct-injective modules, J. Algebra 420:39-
53.
[4] Ibrahim, Y., Ko¸san, M. T., Quynh, T. C., Yousif, M. (2016). Simple-Direct-Projective Modules. Comm.
Algebra 44:5163-5178.
[5] Ibrahim, Y., Ko¸san, M. T., Quynh, T. C., Yousif, M. (2017). Simple-direct-modules. Comm. Algebra
45:3643-3652.

03/26/2021

CIMPA Fellowship

📣 Extended deadline for registration and application to a CIMPA financial support

🕍 Partner: the Institut Henri Poincaré in Paris (France)

📚 Topic of the program: "Post-quantum Algebraic Cryptography"

📆 Dates and place: The call is for attending the program from September 6 to December 10, 2021 at the Institut Henri Poincaré in Paris (France)

⚠️ Extended deadline for applications to be submitted: April 15, 20

👉 To apply: https://www.cimpa.info/en/node/6974

But still having fun, which is what matters...
03/26/2021

But still having fun, which is what matters...

03/23/2021
Exercise from Gallian's Contemporary Abstract Algebra... :-)
03/22/2021

Exercise from Gallian's Contemporary Abstract Algebra... :-)

Exercise from Gallian's Contemporary Abstract Algebra... :-)

Giving credit where credit is due...
03/18/2021

Giving credit where credit is due...

Giving credit where credit is due...

Hanging out with friends before my virtual talk to Universidad de San Carlos de Guatemala.
03/18/2021

Hanging out with friends before my virtual talk to Universidad de San Carlos de Guatemala.

Hanging out with friends before my virtual talk to Universidad de San Carlos de Guatemala.

I had fun lecturing for the mathematics seminar at Universidad de San Carlos de Guatemala 🇬🇹 this morning. Thank you all...
03/18/2021

I had fun lecturing for the mathematics seminar at Universidad de San Carlos de Guatemala 🇬🇹 this morning. Thank you all who came to listen to me.

I had fun lecturing for the mathematics seminar at Universidad de San Carlos de Guatemala 🇬🇹 this morning. Thank you all who came to listen to me.

03/18/2021

A catchy line for my "amenability and congeniality" talk today: "All bases are created equal but some are more equal than others"... :-)

12/19/2020

Something to put in my "to-do" list: ask these guys to sing "my favorite rings."

Address

414 Morton Hall, Department Of Mathematics, Ohio University
Athens, OH
45701

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Comments

I would like to interoduce my your self my name Dejen. I am university students i went project on title finite ring and its application
I wonder if they sell rings, too 🤔
Dear friends and colleagues at Ohio University CRA, I send you this message wishing you success and prosperity in the year 2020. Happy New Year!
On the extent amenability of bases of infinite dimensionl algebras at XXIII Coloquio Latinoamericano de Algebra, México
Add this to your reading list!
Congratulations to José (Pepe) Ríos Montes for being recognized by UNAM as outstanding faculty in the exact sciences!
"You're so contrarian, Mr. Grinch..."
Our graduate students led an interesting community activity at the public library today.
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THE ANALYZE OF INFINITY BEGAN HERE. Boys , you know AMERICA get in 2015 TWO fundamentals, With Value Eternity Thesaurus , because express ABSOLUTE TRUTH , THEN NEVER DIE. YOU WILL NOT DONATE TO MY , AS YOU PROBABLY THOUGHT, YOU WILL DONATE TO A CAUSE OF FUTURE RESEARCH, FOR A LOT OF PROBLEMS WHICH ONLY A OPEN SOURCES SYSTEM CAN MAINTAIN , BECAUSE IS A WORK TO MAKE THERE, AS EXAMPLE CLIMATIC HARMONY NEED SOFTWARE MODELS WHICH TO PERFORM A APPROACH OF REALITY, AND TO HOPE ANY RESULTS FROM FLT IMPLICATION CAN HELP A BIT! Google , America Two Fundamentals which Started On #GooglePlatform And #Youtube , need a Server by now for Future, sorry to ask you that but is an important Research area for The FUTURE for Sure! " https://plus.google.com/photos/photo/102371865054310418159/6598624985585422626 " #nasa AFTER A SHORT TIME PAUSE , MAYBE FORCED BY LAST #MARSSTORM , NASA TRY AND READING NEXT STEP ON. 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WE HAVE A LOT of real work THERE for #FermatMurguQuadruplets #IonMurguCirclesParadox and ETC. #ETC, ETC.. *This September 24 a Part of A M E R I C A WILL CELEBRATE 3 YEARS FOR HIS TWO FUNDAMENTALS , MAYBE THE BEST CONTRIBUTION EVER TO Humanity Science And Culture Universal. 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InfinityDivergentConjecture.pdf in first maybe 15 pages, the rest is very important material for future Analyze. SEE IT : AT: " www.climaticdisorder.com/ " *ABOUT '93, '94 , 95 PROOF : I WAS WAITING 3 YEARS TO BE REPAIRED, BUT TO PROUD PEOPLE THERE, THEY DIDN'T , BECAUSE FOR THEY NEED TO USE Ion Murgu Integers Powers Fundamental Equations and Fermat - Murgu Quadruplets , anyway the time is over , because I tried also to save Taniyama-Shimura Conjecture, which in REALITY CAN'T BE CONNECTED TO FERMAT EQUATIONS, BUT I DID UNFORTUNATELY I THINK CAN'T BE CONNECTED PURELY TO MODULARITY , BUT YOU CAN WORK YET ON , MAYBE! In effect, the conjecture says that every rational elliptic curve is a modular form in disguise. Or, more formally, the conjecture suggests that, for every elliptic curve y^2=Ax^3+Bx^2+Cx+D over the rationals, there exist nonconstant modular functions f(z) and g(z) of the same level N such that [f(z)]^2=A[g(z)]^2+Cg(z)+D.