On -graded polynomial identities of the Grassmann algebra

✍ Scribed by Onofrio M. Di Vincenzo; Viviane Ribeiro Tomaz da Silva

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 254 KB
• Volume: 431
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2009.02.005

✦ Synopsis

Let F be a field of characteristic zero and let E be the Grassmann algebra of an infinite dimensional F-vector space L. In this paper we study the Z 2 -graded polynomial identities of E with respect to any fixed Z 2 -grading such that L is an homogeneous subspace. We found explicit generators for the ideal, T 2 (E), of graded polynomial identities of E and we determine its cocharacter and codimension sequences.