In commutative algebra, a branch of mathematics, going up and going down are terms which refer to certain properties of chains of prime ideals in integral extensions.
The phrase going up refers to the case when a chain can be extended by "upward inclusion", while going down refers to the case when a chain can be extended by "downward inclusion".
The major results are the Cohen–Seidenberg theorems, which were proved by Irvin S. Cohen and Abraham Seidenberg. These are known as the going-up and going-down theorems.
and 21 Related for: Going up and going down information
mathematics, goingupandgoingdown are terms which refer to certain properties of chains of prime ideals in integral extensions. The phrase goingup refers...
Look upgoingdown in Wiktionary, the free dictionary. GoingDown or Goin' Down may refer to: GoingDown (film), a 1982 Australian film directed by Haydn...
"Keep GoingUp" is a song by recording artists Timbaland, Nelly Furtado and Justin Timberlake. It was released on September 1, 2023, through Mosley Music...
life and death. For example a stockholder might say "This company is on the verge of going bankrupt, but I'm not selling my stock. I'm goingdown with...
GoingUp may refer to: Goingupandgoingdown, terms in commutative algebra which refer to certain properties of chains of prime ideals in integral extensions...
"GoingDown to Liverpool" is a song written by Kimberley Rew for his group Katrina and the Waves, although best remembered for a cover version by the...
Not Going Out is a British television sitcom that has aired on BBC One since 2006 and is the second-longest-running British sitcom (number of series)...
further south, and thus, lower than Jerusalem and the Promised Land, heading to Egypt means going "down" while going away from Egypt is "up". In the context...
"going postal." Thirty-five people have been killed in 11 post office shootings since 1983. The USPS does not approve of the term "going postal" and has...
Igby GoesDown is a 2002 American comedy-drama film that follows the life of Igby Slocumb, a rebellious and sardonic teenager who attempts to break free...
13 Going on 30 (released as Suddenly 30 in some countries) is a 2004 American fantasy romantic comedy film written by Cathy Yuspa and Josh Goldsmith, directed...
quotations related to Going Postal. Going Postal title listing at the Internet Speculative Fiction Database Information from L-Space.org Going Postal at Worlds...
Yes – Going for the One" (in French). InfoDisc. Retrieved 21 March 2021. Select YES and click OK. "British album certifications – Yes – Going for the...
"GoingDown to the River" is a song written, composed and performed by American country music singer, songwriter and guitarist Doug Seegers. Seegers,...
album on the chart. Going to Hell spawned five singles, including "Heaven Knows", "Messed Up World (F'd Up World)", and "Follow Me Down", all three of which...
easy task)." Going Infinite appeared shortly after publication of the book by Zeke Faux about Bankman-Fried and crypto, Number GoUp, and received less...
Look upGo, GO, go, gō, or Appendix:Variations of "go" in Wiktionary, the free dictionary. Go, GO, G.O., or Go! may refer to: Go (game), a board game...
recorded the song "Going to a Go-Go" in 1966 (which was covered in 1982 by The Rolling Stones), and Whisky a GoGo franchises sprang up all over the country...
Draft called "Going Concern." It discusses the following possible pronouncements for the going concern: Reconsideration of defining and incorporating...
"GoingDown on Love" is a song by John Lennon, released as the first track on his 1974 album Walls and Bridges. It was also released as the B-side of...
Go Fish or Fish is a card game usually played by two to five players, although it can be played with up to 10 players. It can be played in about 5 to...
Global Information