1h
comment One sided zero divisor in Rings
Too many questions for one post, and I'm not even totally sure what "Q1" was supposed to be. For Q3, the integers are a ring in which there is one zero divisor, two units, and everything else is neither.
1d
comment Criteria for the existence of zero-divisors and idempotent elements in the integers modulo $n$
@quid But every integer divides the product of two consecutive integers, so b) doesn't seem correct either.
1d
comment How to solve this algebra problem?
It could be the annihilator. It should also be clarified whether or not you are assuming commutativity, @Lana. What steps did you take with the problem?
1d
comment Bigenetic properties of finite group
Before you hit the "submit" button of your question, check to see that the title is NOT all in caps, and make sure the body of the question is comprehensible.
1d
comment Generators over semiperfect rings
@karparvar Yes, it is known that if $e$ is a basic idempotent of a semiperfect ring, $eR$ is a summand of every generator of Mod-R. The first reference I dug up was in Faith & Page's FPF ring theory, Thm 1.2B.
1d
comment Automorphism group of the ring $\mathbb{F}_3\left[t,\frac{1}{t}\right]$
Time to start including your thoughts in your questions.
1d
awarded  Nice Answer
2d
revised Can we find the inverse for a vector
edited tags
2d
comment Can we find the inverse for a vector
To ask about an inverse you first need to tell us what operation you have in mind that you want to find the inverse to.
Jan
23
revised do you need $P$ prime to show that $R/P$ is a PID if $R$ is a PID?
added 175 characters in body
Jan
23
revised Show that $R/I$ is a field, where $R$ is a PID , where $I$ is a nonzero prime ideal.
edited title
Jan
23
comment do you need $P$ prime to show that $R/P$ is a PID if $R$ is a PID?
@LeonAvery no, I want to use that fact to show a quotient of a PID is a PIR. The proof that quotients of PIRs are PIRs is extremely simple, but let me know if you get stuck on it.
Jan
23
comment do you need $P$ prime to show that $R/P$ is a PID if $R$ is a PID?
@LeonAvery Yes, I use that abbreviation.
Jan
23
revised do you need $P$ prime to show that $R/P$ is a PID if $R$ is a PID?
edited tags
Jan
23
answered do you need $P$ prime to show that $R/P$ is a PID if $R$ is a PID?
Jan
22
answered Converting Quaternion or 4x4 Matrix to 3x3 Matrix representation.
Jan
22
comment Question on Probability, Please Help!
And while you're at it, pick a better title: more descriptive, less needy.
Jan
22
comment Suppose $M$ is a Noetherian $R$-module and $\phi: M \rightarrow M$ is an $R$-module endomorphism of $M$.
The keywords for this are Hopfian and coHopfian. Noetherian modules are Hopfian, and Artinian modules are coHopfian. (Of course, that does not exhaust either type, or else we wouldn't give them new names.) related: math.stackexchange.com/q/521309/29335
Jan
21
revised About terminology “Orthogonal” and “Orthonormal”
added 99 characters in body
Jan
21
answered About terminology “Orthogonal” and “Orthonormal”