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Subalgebras of a finite algebra

http://ift.tt/eA8V8J For a finite countably decomposable von Neumann algebra L we study the structures of the space consisting of all yon Neumann subalgebras of L. Especially we study the relation M ~N which was previously studied by Murray and von. Neumann [1 l] and McDuff [9]. Much of the techniques used are ... from Algebra

NPR News: The Nation Processes Another Shooting

The Nation Processes Another Shooting How do we cope with school shootings, and are we at risk of becoming numb to mass violence? Read more on NPR

NPR News: 17 Killed In Deadliest School Shooting Since Sandy Hook

17 Killed In Deadliest School Shooting Since Sandy Hook We get an update from Florida. Read more on NPR

Credit requirements, funding hinder class options for students, experts say

http://ift.tt/eA8V8J Welding should be considered an alternative to taking Algebra 2, he said. “You need Algebra 2 to be able to weld,” Hadden said. “We're not trying to lower the standards, we're trying to keep the standards high but give some alternatives out there that could allow people to work with their hands and still ... from Algebra

Heroic Parkland math teacher refused to open the classroom door — not even for SWAT

http://ift.tt/eA8V8J High school students often balk at taking algebra . “When will I ever need to use algebra later in life?” is a common refrain. But an algebra class may have saved students' lives at Marjory Stoneman Douglas High on Wednesday — or its fast-thinking teacher, Shanthi Viswanathan, to be exact. When the ... from Algebra

Rarer books: Singmaster’s notes

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http://ift.tt/2HlGuJb David Singmaster ‘s “Notes on Rubik’s magic cube” are a collectors item, but it is still possible to buy a copy . I own a fifth edition (august 1980). These notes capture the Rubik craze of those years really well. Here’s a Conway story, from Siobhan Roberts’ excellent biography Genius at Play . The ICM in Helsinki in 1978 was Conway’s last shot to get the Fields medal, but this was the last thing on his mind. He just wanted a Rubik cube (then, iron-curtain times, only sold in Hungary), so he kept chasing Hungarians at the meeting, hoping to obtain one. Siobhan writes (p. 239): “The Fields Medals went to Pierre Deligne, Charles Fefferman, Grigory Margulis, and Daniel Quillen. The Rubik’s cube went to Conway.” After his Notes, David Singmaster produced a follow-up newsletter “The Cubic Circular”. Only 5 magazines were published, of which 3 were double issues, between the Autumn of 1981 and the summer of 1985. These magazines were reproduced on this page ....

The dimension and components of symmetric algebras

http://ift.tt/eA8V8J O ForsterÜber die Anzahl der Erzeugenden eines Ideals in einem Noetherschen Ring. Math. Z., 84 (1964), pp. 80-87. 3. A GrothendieckLocal Cohomology. Lecture Notes in Math., No. 41, Springer-Verlag, Heidelberg (1967). 4. H MatsumuraCommutative Algebra . Benjamin, New York (1970). 5. from Algebra