In a commutative ring with unit every maximal ideal is prime. Under what conditions does the converse occur?
Suppose $R$ is a ring and every prime ideal of $R$ is also a maximal ideal of $R$. Then what can we say about the ring $R$?
"Interested with the course" or "interested in the course"? Interested in/with the course   Which preposition is correct? in or with, or both. The selected task "{0}" no longer exists. To see the current tasks, click Refresh When I start my task scheduler on Windows 7 I get a dialog with the following error:     The selected task "{0}" no longer exists.  To see the current tasks,   click Refresh     Also there's a UUID, that is displayed as the name and when I try to delete it I cannot, it just hangs around.  Is there a fix for this? I want to describe the variables involved in an equation in an itemized environment such that every item begins with the variable name and subsequently comes the description for it. I'd like to have all the descriptions left aligned.  Here is a MWE that of course does not produce what I am looking for.  \documentclass{standalone} \begin{document} $E[g(x)] = \int_{-\infty}^{+\infty} f_X(x) \, g(x) \, \mathrm{d}x$. % where, % \begin{itemize}     \item $x$      \quad is a continuous random variable.     \item $f_X(x)$ \quad is the PDF of $x$.     \item $g(x)$   \quad is a function of $x$. \end{itemize} \end{document} How to find Windows 7 File Transfer History? Where to post questions asking for expert opinion? After my lie down, I posted  on SO. As I suspected would happen, it got moved to programmers. Unfortunately, the kind of people I'm interested in getting answers from (litb,skeet et al - the top SO programmers in their respective disciplines) don't frequent Programmers much. So my question is, where to ask somewhat non-specific questions of high-powered users? Javascript object members that are prototyped as arrays become shared by all class instances Is any particular punctuation necessary when a quotation is the subject of a sentence? For example, in the sentence below, should there be a comma after export? Or anything else?     "Laughter is America's most important export" is a well-known quote of Walt Disney's. Real Numbers Raised to Imaginary Powers? What is a real number to the power of an imaginary or complex number? e.g. 3i. I have searched through sites about imaginary numbers, but none seem to say anything about imaginary indices. Examples and explanations would be appreciated. Is there any problem if the last name prints first than the first name on an air ticket? Is there any problem if the last name prints first then the first name in international air ticket? Why don't the colonists wear spacesuits in Alien: Covenant? In the beginning of the Alien: Covenant movie, a group of colonists from the main ship make a landing on an unknown planet, which they found out accidentally after ship has been bombarded by an unknown wave from a star collapse and what bothers me, is that they don't wear any spacesuits, any protective gear, any air filter systems, just nothing.  Is that really the way future space expeditions gonna explore new possible planets presumed as possible habitable homes for humanity?  Every 5th grader knows, from the biology school lessons, that water, air, and even earth itself contains and gives life to a thousands of viruses, bacteria, and microorganisms.  You can breathe in bacteria, or virus, and be dead in a seconds.  Do film makers really suppose we will take it as realistic depiction of extraterrestrial expedition?   Reality check just screams out loud.  What do you think can be their motivation for such a decision? Which registry keys are impacted with Xerox Printer driver installation? I am implementing a driver deployment with Samba.  Every possible model of printer found an easy solution, except for Xerox Workcenter.    After browsing the Internet, I found that Xerox printer driver has to change some registry keys in order to work, keys which are changed by the executable downloadable on the manufacturer website.  Do you know which key are impacted by the Xerox Workcenter GPD driver?  This corresponds to the error message I get while uploading to Samba, which asks the position of a file named as a registry key.  I browse Samba bug tracker and they did not specify which registry key are impacted.  I contacted Xerox itself, but despite that fact that we have a support contract and really a huge number of workstations, it seems that Xerox is not willing to help us. Is “fortnight” an outdated word? I'm studying English vocabulary books, I find this word in each unit describing time words (days, weeks, months...).      There are 2 weeks in a fortnight.   Almost I haven't seen this word before in social websites, emails or movies. the only place I heard this word is in historical movies.  So, is it a outdated word or native speakers still use it? Rendering fire animations with transparent background I'm creating a simple fireball sprite for my game and I want to render a fire animation.  I would like to get the upper images with transparent background, but when is set the transparency on under Render -> Film one of my frames will look like lower pictures.  You can see the difference of these two images. Note: $x_n$ is a sequence which is not necessarily convergent.    The following was my attempt. Since $\lim_{n\to \infty}a_n=a$ then $\limsup_{n\to \infty}a_n=a$ . Also $\sup(a_nx_n)=\sup(a_n)\sup(x_n)$. Therefore, $\limsup_{n\to \infty}a_nx_n=\limsup_{n\to \infty}a_n\limsup_{n\to \infty}x_n=a\limsup_{n\to \infty}x_n$.    I am not sure if this is correct. So could someone please show me how it is done. Thanks How to colorize an image as in the example? Reprojected MODIS NDVI has range from -32768 to 32767, expected -1 to 1 Should I upgrade to the "mainline" kernels? I can see by manipulating the expression why $\mathbb{E}X$ works out to be $\int_0^\infty 1-F(x)\,dx$, where $F$ is the distribution function of $X$, but what is an intuitive explanation for why that is true? If at each point we sum the probability $\mathbb{P}(X&gt;x)$, why should we end up with the expectation?  Thanks With a firmware password set on a Retina MacBook Pro, what are recovery options? I am considering setting a firmware password on my Retina MacBook Pro for security reasons. If I do this and later lose the password (or other such extenuating circumstances), how can the data be recovered? Is it even possible? Ubuntu 20.04 on DualBoot fail 90% of tries - Initramfs unpacking failed: Decoding failed