Polynomial Identity Rings (Advanced Courses in Mathematics CRM Barcelona) by Ves
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Lieferung aus: Deutschland, الشحن المجاني.
Von Händler/Antiquariat, Syndikat Buchdienst, [4235284].
AUSFÜHRLICHERE BESCHREIBUNG: These lecture notes treat polynomial identity rings from both the combinatorial and structural points of view. The greater part of recent research in polynomial identity rings is about combinatorial questions, and the combinatorial part of the lecture notes gives an up-to-date account of recent research. On the other hand, the main structural results have been known for some time, and the emphasis there is on a presentation accessible to newcomers to the subject. BUCHBESPRECHUNG: From the reviews: "The book under review consists of two excellent monographs on the PI-theory by two leading researchers, V. Drensky and E. Formanek ... In summary, both expositions are very well written, and the book is recommended both for graduate students and researchers." (MATHEMATICAL REVIEWS) INHALT: A Combinatorial Aspects in PI-Rings.- Vesselin Drensky.- 1 Basic Properties of PI-algebras.- 2 Quantitative Approach to PI-algebras.- 3 The Amitsur-Levitzki Theorem.- 4 Central Polynomials for Matrices.- 5 Invariant Theory of Matrices.- 6 The Nagata-Higman Theorem.- 7 The Shirshov Theorem for Finitely Generated PI-algebras.- 8 Growth of Codimensions of PI-algebras.- B Polynomial Identity Rings.- Edward Formanek.- 1 Polynomial Identities.- 2 The Amitsur-Levitzki Theorem.- 3 Central Polynomials.- 4 Kaplansky's Theorem.- 5 Theorems of Amitsur and Levitzki on Radicals.- 6 Posner's Theorem.- 7 Every PI-ring Satisfies a Power of the Standard Identity.- 8 Azumaya Algebras.- 9 Artin's Theorem.- 10 Chain Conditions.- 11 Hilbert and Jacobson PI-Rings.- 12 The Ring of Generic Matrices.- 13 The Generic Division Ring of Two 2 x 2 Generic Matrices.- 14 The Center of the Generic Division Ring.- 15 Is the Center of the Generic Division Ring a Rational Function Field?. Taschenbuch / Paperback, Neuware, 254 mm, 510g.

Lieferung aus: Vereinigte Staaten von Amerika, Usually ships in 24 hours.
Von Händler/Antiquariat, Amazon.com.
These lecture notes treat polynomial identity rings from both the combinatorial and structural points of view. The greater part of recent research in polynomial identity rings is about combinatorial questions, and the combinatorial part of the lecture notes gives an up-to-date account of recent research. On the other hand, the main structural results have been known for some time, and the emphasis there is on a presentation accessible to newcomers to the subject., Paperback, الطبعة: 2004, التسمية: Birkhäuser, Birkhäuser, مجموعة المنتجات: Book, ونشرت: 2013-10-04, تاريخ الإصدار: 2013-10-04, ستوديو: Birkhäuser, رتبة المبيعات: 3817961.

Lieferung aus: Vereinigte Staaten von Amerika, الكتاب الإليكتروني للتحميل.
Mathematics, A ring R satisfies a polynomial identity if there is a polynomial f in noncommuting variables which vanishes under substitutions from R. For example, commutative rings satisfy the polynomial f(x,y) = xy - yx and exterior algebras satisfy the polynomial f(x,y,z) = (xy - yx)z - z(xy - yx). "Satisfying a polynomial identity" is often regarded as a generalization of commutativity. These lecture notes treat polynomial identity rings from both the combinatorial and structural points of view. The former studies the ideal of polynomial identities satisfied by a ring R. The latter studies the properties of rings which satisfy a polynomial identity. The greater part of recent research in polynomial identity rings is about combinatorial questions, and the combinatorial part of the lecture notes gives an up-to-date account of recent research. On the other hand, the main structural results have been known for some time, and the emphasis there is on a presentation accessible to newcomers to the subject. The intended audience is graduate students in algebra, and researchers in algebra, combinatorics and invariant theory. eBook.

Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Usually dispatched within 2-3 business days, بالإضافة إلى الشحن (في حالة شحنها).
Von Händler/Antiquariat, ARTSnCRAFTS~Books.
A ring R satisfies a polynomial identity if there is a polynomial f in noncommuting variables which vanishes under substitutions from R. For example, commutative rings satisfy the polynomial f(x,y) = xy - yx and exterior algebras satisfy the polynomial f(x,y,z) = (xy - yx)z - z(xy - yx). "Satisfying a polynomial identity" is often regarded as a generalization of commutativity.These lecture notes treat polynomial identity rings from both the combinatorial and structural points of view. The former studies the ideal of polynomial identities satisfied by a ring R. The latter studies the properties of rings which satisfy a polynomial identity. The greater part of recent research in polynomial identity rings is about combinatorial questions, and the combinatorial part of the lecture notes gives an up-to-date account of recent research. On the other hand, the main structural results have been known for some time, and the emphasis there is on a presentation accessible to newcomers to the subject.The intended audience is graduate students in algebra, and researchers in algebra, combinatorics and invariant theory. Paperback, الطبعة: 2004, التسمية: Springer, Springer, مجموعة المنتجات: Book, ونشرت: 2013-10-04, تاريخ الإصدار: 2013-10-04, ستوديو: Springer, رتبة المبيعات: 4464313.

Lieferung aus: Vereinigte Staaten von Amerika, تكاليف الشحن إلى: EGY.
Von Händler/Antiquariat, Cold Books.
Springer . softcover. New. pp. VI + 200.