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The central polynomials for the Grassmann algebra

✍ Scribed by Antônio Pereira Brandão; Plamen Koshlukov; Alexei Krasilnikov; Élida Alves da Silva

Book ID
107529328
Publisher
The Hebrew University Magnes Press
Year
2010
Tongue
English
Weight
362 KB
Volume
179
Category
Article
ISSN
0021-2172

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📜 SIMILAR VOLUMES

On -graded polynomial identities of the
On -graded polynomial identities of the Grassmann algebra
✍ Onofrio M. Di Vincenzo; Viviane Ribeiro Tomaz da Silva 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 254 KB

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 th

Duality for Ideals in the Grassmann Alge
Duality for Ideals in the Grassmann Algebra
✍ I. Dibag 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 213 KB

A duality is established between left and right ideals of a finite dimensional Grassmann algebra such that if under the duality a left ideal ᑣ and a right ideal J correspond then ᑣ is the left annihilator of J and J the right annihilator of ᑣ. Another duality is established for two-sided ideals of t