Results 1  10
of
303
MINIMAL FAITHFUL MODULES OVER ARTINIAN RINGS
, 2015
"... Abstract: Let R be a left Artinian ring, and M a faithful left Rmodule such that no proper submodule or homomorphic image of M is faithful. If R is local, and socle(R) is central in R, we show that length(M/J(R)M ) + length(socle(M )) ≤ length(socle(R)) + 1. If R is a finitedimensional algebra ov ..."
Abstract
 Add to MetaCart
Abstract: Let R be a left Artinian ring, and M a faithful left Rmodule such that no proper submodule or homomorphic image of M is faithful. If R is local, and socle(R) is central in R, we show that length(M/J(R)M ) + length(socle(M )) ≤ length(socle(R)) + 1. If R is a finitedimensional algebra
Faithful Torsion Modules and Rings by
, 2011
"... An R module M is herein called torsion if each element has nonzero annihilator, and faithful if the annihilator of M is zero. The central theme of this dissertation is exploration of which rings admit modules that are simultaneously faithful and torsion, termed FT modules. If a ring R admits an FT r ..."
Abstract
 Add to MetaCart
An R module M is herein called torsion if each element has nonzero annihilator, and faithful if the annihilator of M is zero. The central theme of this dissertation is exploration of which rings admit modules that are simultaneously faithful and torsion, termed FT modules. If a ring R admits an FT
Centres of skewfields and completely faithful Iwasawa modules
, 2007
"... Let H be a torsionfree compact padic analytic group whose Lie algebra is split semisimple. We show that the quotient skewfield of fractions of the Iwasawa algebra ΛH of H has trivial centre and use this result to classify the prime cideals in the Iwasawa algebra ΛG of G: = H × Zp. We also show t ..."
Abstract

Cited by 6 (2 self)
 Add to MetaCart
that a finitely generated torsion ΛGmodule having no nonzero pseudonull submodule is completely faithful if and only if it is has no central torsion. This has an application to the study of Selmer groups of elliptic curves.
of Engineering. Yours faithfully
, 2008
"... We present a brief analysis of robotic programming techniques in the context of service robots, deriving the requirements of such systems to incorporate a highlevel planner, a behaviourbased layer responsible for addressing unstructured problems, and machine learning modules for working with speci ..."
Abstract
 Add to MetaCart
We present a brief analysis of robotic programming techniques in the context of service robots, deriving the requirements of such systems to incorporate a highlevel planner, a behaviourbased layer responsible for addressing unstructured problems, and machine learning modules for working
The Burau Representation is Not Faithful for n = 5
 Geom. Topol
, 1999
"... The Burau representation is a natural action of the braid group B n on the free Z[t; t 1 ]module of rank n 1. It is a longstanding open problem to determine for which values of n this representation is faithful. It is known to be faithful for n = 3. Moody has shown that it is not faithful for n ..."
Abstract

Cited by 14 (1 self)
 Add to MetaCart
The Burau representation is a natural action of the braid group B n on the free Z[t; t 1 ]module of rank n 1. It is a longstanding open problem to determine for which values of n this representation is faithful. It is known to be faithful for n = 3. Moody has shown that it is not faithful for n
MODULES
"... ABSTRACT. This paper studies lax higher dimensional structure over bicategories. The general notion of a module between two morphisms of bicategories is described. These modules together with their (multi)2cells, which we call modulations, organize themselves into a multibicategory. The usual not ..."
Abstract
 Add to MetaCart
then be described directly as a new sort of modification between the transformations. This provides a locally full and faithful homomorphism from transformations and modifications into the bicategory of modules. Finally, if each 1cell component of a transformation is a leftadjoint then the rightadjoints provide
MODULES
 THEORY AND APPLICATIONS OF CATEGORIES, VOL. 11, NO. 17, 2003, PP. 375396.
, 2003
"... This paper studies lax higher dimensional structure over bicategories. The general notion of a module between two morphisms of bicategories is described. These modules together with their (multi)2cells, which we call modulations, organize themselves into a multibicategory. The usual notion of a m ..."
Abstract
 Add to MetaCart
directly as a new sort of modification between the transformations. This provides a locally full and faithful homomorphism from transformations and modifications into the bicategory of modules. Finally, if each 1cell component of a transformation is a leftadjoint then the rightadjoints provide
Results 1  10
of
303