✦ LIBER ✦

Join-semilattices and simple graphic algebras

✍ Scribed by Juhani Nieminen

Publisher: John Wiley and Sons
Year: 1977
Tongue: English
Weight: 314 KB
Volume: 77
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19770770107

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A note on simple graphic algebras

✍ Juhani Nieminen 📂 Article 📅 1975 🏛 John Wiley and Sons 🌐 English ⚖ 223 KB 👁 1 views

A NOTE ON SIMPLE GRAPHIC ALGEBRAS by JUHANT NIEMTNEN in Helsinki (Finland) 111 troduction Several authors have studied the structure of algebras with a ternary operation called median operation, scc e.g. [I], [2], [3], [4], and [7]. Most of the authors have concentrated on the lattice and tree struc

Pseudocomplemented Semilattices, Boolean

Pseudocomplemented Semilattices, Boolean Algebras, and Compatible Products

✍ Antonio Fernández López; Marı́a Isabel Tocón Barroso 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 197 KB

Pseudocomplemented semilattices are studied here from an algebraic point of view, stressing the pivotal role played by the pseudocomplements and the relationship between pseudocomplemented semilattices and Boolean algebras. Following the pattern of semiprime ring theory, a notion of Goldie dimension

Simple Multilinear Algebras, Rectangular

Simple Multilinear Algebras, Rectangular Matrices and Lie Algebras

✍ X.R. Shen; J.D.H. Smith 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 375 KB

The paper investigates simple multilinear algebras, known as comtrans algebras, that are determined by Lie algebras and by pairs of matrices. The two classes of algebras obtained in this way separate, except for the vector triple product algebra. \(\quad 1993\) Academic Press, Inc.

Root Categories and Simple Lie Algebras

✍ Liangang Peng; Jie Xiao 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 412 KB

By using the T 2 -orbit category of the derived category of a hereditary algebra, which is proved to be a triangulated category too, we give a complete realization of a simple Lie algebra. This is a global version of Ringel's work for the positive parts of simple Lie algebras. In this realization, t

Simple and Prime Graded Jordan Algebras

✍ Consuelo Martinez; E. Zelmanov 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 271 KB

Level Zero Types and Hecke Algebras for

Level Zero Types and Hecke Algebras for Local Central Simple Algebras

✍ Martin Grabitz; Allan J Silberger; Ernst-Wilhelm Zink 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 296 KB

Let D be a central division algebra and A × =GL m (D) the unit group of a central simple algebra over a p-adic field F. The purpose of this paper is to give types (in the sense of Bushnell and Kutzko) for all level zero Bernstein components of A × and to establish that the Hecke algebras associated