Journal article
Idealization and polynomial identities
Glasnik matematički, Vol.49(1), pp.47-51
06/08/2014
DOI: 10.3336/gm.49.1.05
Abstract
Let R be a commutative ring, let M be an R-module, let f(X1, …,Xn) be a polynomial (with coefficients from R or Z) and let k be a positive integer. We show that if R satisfies the polynomial identity ∏i=1kf(X1i, …,Xni)=0, then the idealization R(+)M satisfies ∏i=1k+1f(X1i, …,Xni)=0.
Details
- Title: Subtitle
- Idealization and polynomial identities
- Creators
- Malik Bataineh - Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanD. D Anderson - Department of Mathematics, The University of Iowa, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- Glasnik matematički, Vol.49(1), pp.47-51
- Publisher
- Hrvatsko matematičko društvo i PMF-Matematički odjel, Sveučilišta u Zagrebu
- DOI
- 10.3336/gm.49.1.05
- ISSN
- 0017-095X
- eISSN
- 1846-7989
- Language
- English
- Date published
- 06/08/2014
- Academic Unit
- Mathematics
- Record Identifier
- 9983985820802771
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