In mathematics, a Stanley–Reisner ring, or face ring, is a quotient of a polynomial algebra over a field by a square-free monomial ideal. Such ideals are...

obtained by removing exponents). So: The Krull dimension of the Stanley–Reisner ring R / J {\displaystyle R/J} where J {\displaystyle J} is the radical...

An abstract simplex can be studied algebraically by forming its Stanley–Reisner ring; this sets up a powerful relation between combinatorics and commutative...

Every simplicial complex has an associated face ring, also called its Stanley–Reisner ring. This ring reflects many of the combinatorial properties of...

polynomial ring and Stanley–Reisner ring of a simplicial complex. Cohen–Macaulay rings. Monomial ring, closely related to an affine semigroup ring and to...

Algebraic K-theory Gelfand–Naimark–Segal construction Stanley–Reisner ring construction Quotient ring construction Ward's twistor construction Hilbert symbol...

and Stanley–Reisner rings. A proof of the conjecture would also establish the Zariski–Lipman conjecture, for a complex variety V with coordinate ring R...

1975 by Stanley using the notion of a Stanley–Reisner ring and homological methods. For a nice historical account of this theorem see Stanley's article...

over a ring R is called stably free if M⊕Rn is free for some natural number n. Stanley 1.  Named after Richard P. Stanley 2.  A Stanley–Reisner ring is a...

{\displaystyle LT(I)} is generated by the g i {\displaystyle g_{i}} likewise. Stanley–Reisner ring Hodge algebra Dummit & Foote 2004 Miller & Sturmfels 2005 Miller...

this was indeed established in 1975 by Richard P. Stanley using the notion of a Stanley–Reisner ring and homological methods. Combinatorial commutative...

a toric stack. A toric orbifold is an example of a toric stack. Stanley–Reisner ring Iwanari, Isamu (2009). "The category of toric stacks". Compositio...

{\displaystyle f_{d-1}=h_{0}+h_{1}+\dotsb +h_{d}} . Let R = k[Δ] be the Stanley–Reisner ring of Δ. Then its Hilbert–Poincaré series can be expressed as P R (...

ingredient of Stanley’s 1975 proof of the simplicial form of McMullen’s Upper bound theorem involves showing that the Stanley-Reisner ring of the corresponding...

Year Title Director Role Notes Ref. 1955 Climax! Allen Reisner NA "The Day They Gave Babies Away" 1957 Whirlybirds Allen H. Miner Josie Fisher "Rampage"...

1310-1729-0524 163 18 "Ring of Life" John Peyser Tim Maschler February 4, 1975 (1975-02-04) 1310-1729-0522 164 19 "A Study in Rage" Allen Reisner Martin Roth February 11...

to make their getaway. With Don Johnson. 105 10 "Castle of Fear" Allen Reisner James Menzies December 23, 1976 (1976-12-23) Paranoia leads to someone...

Archived from the original on January 9, 2015. Retrieved January 8, 2015. Reisner, Marc (1993). Cadillac desert: the American West and its disappearing water...

from the original on January 25, 2021. Retrieved July 1, 2013. Reisner 1993, p. 121. Reisner 1993, p. 126. Stahle, David W.; Fye, Falko K.; Therrell, Matthew...

Beale 1956, p. 48. Harbaugh 1963, pp. 214–217. Reisner 1922, p. 355. Reisner 1922, p. 324. Reisner 1922, p. 306. Leuchtenburg 2015, pp. 30–31. Leuchtenburg...

of the same name by C.M. Kornbluth 8 2c "The Nature of the Enemy" Allen Reisner Rod Serling Joseph Campanella, Richard Van Vleet, James Sikking, Jason...

Raye, Don Rickles. 54 22 "Who Killed the Man on the White Horse?" Allen Reisner Berne Giler & David Giler February 17, 1965 (1965-02-17) Cowboy star Clayton...

Trot Jaudas' Society Orc. 3321 Goodbye Broadway, Hello France C. Francis Reisner – Benny Davis – Billy Baskette Arthur Fields 3322 Huckleberry Finn Premier...

film of the several battles at Ypres. 1926 US The Better 'Ole Charles Reisner D, C P 1926 US What Price Glory? Raoul Walsh Rival United States Marines...

in the Third Reich. Oxford University Press. ISBN 0-19-820599-6. Markus Reisner: Bomben auf Wiener Neustadt – Die Zerstörung eines der wichtigsten Rüstungszentren...

Romance of Old Bill (1918) George Pearson The Better 'Ole (1926) Charles Reisner Big Boy (1925) James F. Hanley Joseph Meyer Buddy DeSylva Harold Atteridge...

Eben, Jack McCoy, Robert Witthans, Johann Strasser, Alf Kjellin, Allen Reisner, Beau Vanden Ecker, Bob Sweeney, Bradford May, Charles S. Dubin, Jerry...

Dan Reisner in 2020, shortly after the tragic incident in Minneapolis, Minnesota." Floyd", Commemorates George Floyd's murder, featuring tree rings at...

two sets of relations. The first are the relations generated by the Stanley–Reisner ideal of P n {\displaystyle P^{n}} ; linear relations determined by...

Jack Perrin, Josephine Hill Action Rayart With This Ring Fred Windemere Alyce Mills, Forrest Stanley Drama Independent Without Mercy George Melford Dorothy...