✦ LIBER ✦

The primitivity of free products of associative algebras

✍ Scribed by A.I Lichtman

Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 274 KB
Volume: 54
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(78)90023-6

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Primitive, Almost Primitive, Test, and Δ

Primitive, Almost Primitive, Test, and Δ-Primitive Elements of Free Algebras with the Nielsen–Schreier Property

✍ Alexander A. Mikhalev; Jie-Tai Yu 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 153 KB

Free Products of Units in Algebras I. Qu

Free Products of Units in Algebras I. Quaternion Algebras

✍ Jairo Z Gonçalves; Arnaldo Mandel; Mazi Shirvani 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 128 KB

Let A be a quaternion algebra over a commutative unital ring. We find sufficient conditions for pairs of units of A to generate a free group. Using the Ž . well-known isomorphism between SO 3, ‫ޒ‬ and the group of real quaternions of norm 1, we obtain free groups of rotations of the Euclidean 3-spac

Maximal abelian subalgebras of function

Maximal abelian subalgebras of function algebras associated with free products

✍ Alice R Trenholme 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 377 KB

Test Polynomials for Automorphisms of Po

Test Polynomials for Automorphisms of Polynomial and Free Associative Algebras

✍ Vesselin Drensky; Jie-Tai Yu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 229 KB

In this paper we consider test polynomials in the polynomial algebra and the free associative algebra. A test polynomial is defined by the following property: every endomorphism which fixes the polynomial is an automorphism. We construct families of test polynomials for the polynomial algebra and th

Free Products of Units in Algebras. II.

Free Products of Units in Algebras. II. Crossed Products

✍ Jairo Z. Gonçalves; Arnaldo Mandel; Mazi Shirvani 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 195 KB

We investigate the problem of explicitly constructing non-cyclic free groups in finite-dimensional crossed products using valuation criteria. The results are applied to produce explicit free groups in division algebras generated by nilpotent groups, and symmetric free groups in group rings of finite

Basic cohomology of associative algebras

✍ Michel Dubois-Violette; Thierry Masson 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 772 KB