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Anatoly Shirshov information


Anatoly Illarionovich Shirshov (Анато́лий Илларио́нович Ширшо́в, 8 August 1921, Kolyvan, Novosibirsk Oblast – 28 February 1981, Novosibirsk) was a Soviet mathematician, known for his research on free Lie algebras. He proved the Shirshov–Witt theorem, which states that any Lie subalgebra of a free Lie algebra is itself a free Lie algebra.[1][2]

  1. ^ Širšov, Anatoliĭ I. (1953), "Subalgebras of free Lie algebras", Mat. Sbornik, New Series, 33 (75): 441–452, MR 0059892
  2. ^ Shirshov, A. I. (1958), "On free Lie rings", Mat. Sbornik, New Series, 45 (87): 113–122, MR 0099356

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Anatoly Shirshov

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Anatoly Illarionovich Shirshov (Анато́лий Илларио́нович Ширшо́в, 8 August 1921, Kolyvan, Novosibirsk Oblast – 28 February 1981, Novosibirsk) was a Soviet...

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Shirshov

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Shirshov may refer to: People: Aleksandr Shirshov (born 1972), Russian Olympic fencer and coach Anatoly Illarionovich Shirshov (1921–1981), Soviet mathematician...

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Lyndon word

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investigated them in 1954, calling them standard lexicographic sequences. Anatoly Shirshov introduced Lyndon words in 1953 calling them regular words. Lyndon...

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Shirshov Institute of Oceanology

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The Shirshov Institute of Oceanology (P.P. Shirshov Institute of Oceanology (IO) RAN, Russian: Федеральное государственное бюджетное учреждение науки...

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Free Lie algebra

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called the Chen–Fox–Lyndon basis or the Lyndon–Shirshov basis, and is essentially the same as the Shirshov basis.) There is a bijection γ from the Lyndon...

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Anatoly Sagalevich

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September 1938) is a Russian explorer who, since 1995, has worked at the Shirshov Institute of Oceanology of the Russian Academy of Sciences (USSR Academy...

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Aleksandr Kurosh

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students, including also Vladimir Andrunakievich, Mark Graev, and Anatoly Shirshov. On the whole stretch of a long and very fruitful period 1930–1971...

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Unified Team at the 1992 Summer Olympics

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individual bronze. Individual Eduard Zenovka Anatoly Starostin Dmitry Svatkovsky Team Eduard Zenovka, Anatoly Starostin, Dmitry Svatkovsky Rowing events...

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University of Luhansk

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"Kvartal-95." Mykyta Kamenyuka – Luhansk football player known as "Zorya" Anatoly Shirshov – Mathematician and scientist Vitalii Kurylo – president of university...

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List of firsts at the Geographic North Pole

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North Pole) on May 21, 1937. The expedition members: oceanographer Pyotr Shirshov, meteorologist Yevgeny Fyodorov, radio operator Ernst Krenkel, and the...

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List of Russian biologists

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Sharov, paleontologist Vladimir Shevyakov, zoologist, protistologist Pyotr Shirshov, hydrobiologist, participant of many arctic expeditions including the first...

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5th State Duma

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Fedotkin Nikolay Kharitonov Vladimir Khakhichev Valentin Chikin Konstantin Shirshov Sergey Shtogrin Valentin Shurchanov Igor Edel Vladislav Yurchik Liberal...

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List of Russian people

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Pole, a prototype for The Two Captains Pyotr Shirshov, member of the North Pole-1 crew, founder of Shirshov Institute of Oceanology, proved that there is...

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Nikolai Vasilyevich Parin

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Fisheries in 1955 and shortly after began his life-long career at the P. P Shirshov Institute of Oceanology. He worked as a technician on the Vityav in Vladivostok...

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List of Russian explorers

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Russian). Retrieved 2011-12-24. Сагалевич Анатолий Михайлович [Sagalevich Anatoly Mikhaylovich] (in Russian). Герои Страны. Retrieved 2011-12-17. Рудольф...

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List of Russian scientists

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introduced Riphean and Baikalian geological stages Pyotr Shirshov, polar explorer, founder of the Shirshov Institute of Oceanology, proved that there is life...

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Arktika 2007

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members who performed the descent to the ocean bottom at the North Pole, Anatoly Sagalevich, Yevgeny Chernyaev [ru] and Artur Chilingarov were awarded titles...

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Valery Chkalov

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13 July 2023 Valery Chkalov Park in Kyiv was renamed Literature Park. Anatoly Serov Chkalov Island Soviet Calendar 1917-1947 (CCCP production) Soviet...

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SS Chelyuskin

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made a camp on the ice floe. The women and children were airlifted out by Anatoly Liapidevsky on March 5 after 29 rescue flight attempts, but the men in...

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Alexander Kolchak

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Lebedev, Paul J. Bubnar, and his staff. The northern army under the Russian Anatoly Pepelyayev and the Czech Rudolf Gajda seized Perm in late December 1918...

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Artur Chilingarov

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the Executive In office 14 November 2011 – 1 October 2014 Preceded by Anatoly Vaskov [ru] Succeeded by Yulia Veprintseva [ru] Member of the State Duma...

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Moscow Institute of Physics and Technology

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Institute of Chemical Physics, RAS Nuclear Safety Institute of RAS (IBRAE) Shirshov Institute of Oceanology Shubnikov Institute of Crystallography RAS Space...

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Mirny Station

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route between coastal Mirny and inland Vostok Station. It commemorates Anatoly Shcheglov, a driver-mechanic who died while performing his duties. It has...

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