𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Lattice of J-Classes of (J, σ)-Irreducible Monoids

✍ Scribed by Zhuo Li; Lex E Renner

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
407 KB
Volume
190
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we introduce a new concept, namely, the J J, -irreducible monoid. Let G be a simple algebraic group. Let be a surjective endomorphism of G 0 0

Ž . such that G , the fixed points of G under , is finite. We construct a 0 0 Ž . J J, -irreducible monoid M with G the unit group. Extending to M, we obtain a finite monoid M which is J J-irreducible. If M is J J-irreducible, we give a precise recipe to determine the lattices of J J-classes of M and M . ᮊ 1997 Academic Press ␣ ␣ ␣ 1 2 l * Partially supported by R. M. Kane's grant from NSERC. 172

📜 SIMILAR VOLUMES

The Lattice of J-Classes of (J, σ)-
The Lattice of J-Classes of (J, σ)-Irreducible Monoids, II
✍ Zhuo Li 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 209 KB

A reductive monoid is an algebraic monoid with a reductive unit group. Generally, we have the question of finding the orbits of the unit group of a reductive monoid acting on both sides of the monoid. Putcha and Renner give a recipe to determine the orbits for -irreducible monoids according to the D

Characterization of the c3Σ(+) State of
Characterization of the c3Σ(+) State of SCF - The c3Σ+-X1Σ+ System
✍ E.A. Shenyavskaya; J. Verges; A. Topouzkhanian; M.A. Lebeaultdorget; J. Dincan; 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 326 KB

Thermal emission of scandium monofluoride has been spectroscopically investigated at high resolution in the region \(7000-12000 \mathrm{~cm}^{-1}\) with a Fourier transform spectrometer. The predicted low-energy \(c^{3} \Sigma^{+}\)state is observed in a transition to the ground state; six bands of

The Brauer Group of Irreducible Coalgebr
The Brauer Group of Irreducible Coalgebras
✍ J Cuadra; J.R Garcı́a Rozas; B Torrecillas; F Van Oystaeyen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 159 KB

That is, for a cocommuta-Ž . Ž . Ž . tive irreducible coalgebra C, the homomorphism y \*: Br C ª Br C\* is injective. The proof uses Morita᎐Takeuchi theory and the linear topology of all closed Ž . cofinite left ideals in C\*. As an inmediate consequence, Br C is a torsion group. Ž . Some cases wher