Ernst Steinitz (June 13, 1871 – September 29, 1928) was an German mathematician. He was born in Laurahütte (Siemianowice Śląskie), Silesia, Germany (now Siemianowice Śląskie, Poland) and died in Kiel, Germany. June 13 is the 164th day of the year in the Gregorian calendar (165th in leap years), with 201 days remaining. ... 1871 (MDCCCLXXI) was a common year starting on Sunday (see link for calendar). ... September 29 is the 272nd day of the year (273rd in leap years) in the Gregorian calendar. ... Year 1928 (MCMXXVIII) was a leap year starting on Sunday (link will display full calendar). ... Leonhard Euler is considered by many to be one of the greatest mathematicians of all time A mathematician is the person whose primary area of study and research is the field of mathematics. ... Siemianowice ÅšlÄ…skie is a city of the Upper Silesian Industry Area in Poland. ... Siemianowice ÅšlÄ…skie is a town in south Poland with 78,100 inhabitants (1995). ... Silesia (Czech: ; German: ; Latin: ; Polish: ; Silesian: Åšlónsk) is a historical region in central Europe. ... Siemianowice ÅšlÄ…skie is a town in south Poland with 78,100 inhabitants (1995). ... Kiel ( ) is a city in northern Germany and the capital of the Bundesland Schleswig-Holstein. ...

In 1910 Steinitz published the very influential paper Algebraische Theorie der Körper (German: Algebraic Theory of Fields). In this paper he axiomatically studies the properties of fields and defines important concepts like prime field, perfect field and the transcendence degree of an field extension. In abstract algebra, a field is an algebraic structure in which the operations of addition, subtraction, multiplication and division (except division by zero) may be performed, and the same rules hold which are familiar from the arithmetic of ordinary numbers. ... In mathematics, the characteristic of a ring R with identity element 1R is defined to be the smallest positive integer n such that n1R = 0 (where n1R is defined as 1R + ... + 1R with n summands). ... In mathematics, a separable extension of a field K is a field L containing K that can be generated by adjoining to K a set of elements α, each of which is a root of a separable polynomial over K. In that case, each β in L has a separable... In abstract algebra, the transcendence degree of a field extension L / K is a certain rather coarse measure of the size of the extension. ... In mathematics, more specifically in abstract algebra, field extensions are the main object of study in field theory. ...

Important publications

• Ernst Steinitz, Algebraische Theorie der Körper Crelle's Journal (1910), 167–309

Crelles Journal, or just Crelle, is the common name for the Journal für die reine und angewandte Mathematik founded by August Leopold Crelle. ...

See also

• Steinitz exchange theorem

External links

• O'Connor, John J., and Edmund F. Robertson. "Ernst Steinitz". MacTutor History of Mathematics archive.
• Ernst Steinitz at the Mathematics Genealogy Project