Knygos.lt nariams
Knygos.lt nariams
- Išsiųsime per 12–18 d.d.
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- Autorius: Vesselin Drensky
- Leidėjas: Birkhäuser
- Metai: 2004
- Puslapiai: 200
- ISBN-10: 3764371269
- ISBN-13: 9783764371265
- Formatas: 17.8 x 25.4 x 1.1 cm, minkšti viršeliai
- Kalba: Anglų
Atsiliepimai
Aprašymas
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.
- Autorius: Vesselin Drensky
- Leidėjas: Birkhäuser
- Metai: 2004
- Puslapiai: 200
- ISBN-10: 3764371269
- ISBN-13: 9783764371265
- Formatas: 17.8 x 25.4 x 1.1 cm, minkšti viršeliai
- Kalba: Anglų
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.
Atsiliepimai