Ring theory

BORNOLOGICAL SEMI RINGS ANWAR N. IMRAN Abstract. Our main focus in this work is to generalizes the theory of algebraic semi ring from the algebraic setting to the framework of bornological set. More specifically, the concept of new structure bornological semi ring BSR is introduced and the fundamental constructions in the class of bornological semi rings are discussed. In particular, the existence of arbitrary projective limits and arbitrary inductive limits of bornological semi ring is ensured. Additionally

INTRODUCTION 1. Warden's Five Rings theory is a model developed by Col. John Warden. It was first applied in a real war setting in the 1991 Gulf war incorporated in the "Operational Thunder" offensive strategy. It was the key theory that defined Operational Thunder strategy as it was known for American Air Power in defeating Iraq air force. The concept of the five ring model revolves around five major areas of interest that must be attacked and weekend sufficiently before enemy forces can be defeated

Math 559 IDEALS IN RINGS by Naira Arakelyan 1. Introduction The progression of abstract algebra has come to be due to problems which were deemed to be unsolvable through classical methods, as well as discoveries from past mathematicians. Firstly, these problems had been associated with the theory of algebraic equations by the closing of the 19th century. Significant topics of abstract algebra would consist of Diophantine equations, as well as arithmetical investigations of higher and quadratic

SYMMETRIC GENERALIZED BIDERIVATIONS ON JORDAN IDEALS IN PRIME RINGS AHMED ABOUBAKR* , ** AND SANTOS GONZÁLEZ** Abstract. Let R be a prime ring with charR 6 = 2. A biadditive symmetric map B : R × R → R is called symmetric biderivation if, for any fixed y ∈ R, the map x → B(x, y) is a derivation. A symmetric biadditive map G : R × R → R is a symmetric generalized biderivation if for any fixed y ∈ R, the map x → G(x, y) is a generalized derivation of R associated with the derivation B(., y). In the

Emmy Noether was born on March 23, 1882 in Erlangen, Germany. Her real name is Amalie but she was always called Emmy. She was the oldest of four children but one of only two that survived childhood. Growing up she was always around math because her father, Max Noether, was a noted mathematician of his time. Emmy didn’t grow up interested in math like her father, instead, she wanted to study language. Her main focus was French and English. Around the time of her high school graduation, she passed

given the right to vote for the first time. Even with the new rights granted to women, Noether was not paid for her work teaching. Around the end of the war, Noether assisted both Felix Klein and David Hilbert in further defining one of Einstein's theories at the University of Gottingen. She was very hesitant at first because of the lack of women involved in the research, but she decided to help anyways. It was here that Emmy Amalie Noether got her job working as a lecturer at the University. She did

this flood. Alice and Zach became known and people traveled from afar to go meet them, soon they became the king and queen of Athar which was repopulated with travelers. They ruled the little village with pride and had reasonable laws. People made theories that the old woman was Alice’s mother but there was no way to see if this were

This paper will show the history of algebra, how it started, and how it grew to be what it is today. It will show that it started it developments from the basic arithmetic operations that first were used to solve simple addition, subtraction, multiplication, and division and how it went incorporating more operations that permitted it to solve problems that involve abstract concepts. It will show that the recorded history begins mostly with the Egyptian papyrus, and how it went passing from one civilization

Amalie Emmy Noether was a great and noble mathematician to be a woman, a Jew, living in the 19th and 20th century. She was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl, and Norbert Wiener as one of the greatest women in mathematics history. Amalie Emmy Noether was born in Erlangen, Germany, April 15, 1882. She was born as Amalie Emmy Noether but was known as “Emmy”. Emmy was born to Ida Amalia Kaufmann and Max Noether, and was a Jew living in Germany. When Max Noether

this article the author(John Whitaker) discusses an Everlast commercial that is only a minute and 30 seconds long but carries a powerful message. The commercial starts off with a small child running through what appears to be a bad neighborhood. As the commercial goes on we realize that he is not in a bad neighborhood but just lives in abject poverty. However, it seems that he has a really strong passion for boxing. This is shown when by the child’s constant training in a worn down gym. Everything