Results 71 to 80 of about 6,255,640 (218)
The Cohomology in Degree 1 of the Group F4 in Characteristic 2 with Coefficients in a Simple Module
We compute the 1-cohomology with coefficients in a simple module for the simple algebraic group of type F 4 in characteristic 2.
Peter Sin
semanticscholar +1 more source
Classification of simple Harish-Chandra modules over the generalized Witt algebras [PDF]
In this paper, we classify simple Harish-Chandra modules over simple generalized Witt algebras.
arxiv
Projective class ring of a restricted quantum group $ \overline{U}_{q}(\mathfrak{sl}^{*}_2) $
In this paper, we compute the projective class ring of the new type restricted quantum group $ \overline{U}_{q}(\mathfrak{sl}^{*}_2) $. First, we describe the principal indecomposable projective $ \overline{U}_{q}(\mathfrak{sl}^{*}_2) $-modules and study
Pengcheng Ji, Jialei Chen, Fengxia Gao
doaj +1 more source
On a finite dimensional quasi-simple module
1. If R is a ring and M is a (right) A'-module such that MR^O, then M is said to be quasi-simple provided that (Ql) the endomorphism (module endomorphism) ring of the quasiinjective hull of M is a division ring, (Q2) if N is a nonzero submodule of M then
Kwangil Koh, J. Luh
semanticscholar +1 more source
Idempotent Reflexive rings whose every simle singular right module are yj-injective [PDF]
In this paper we study rightidempotent reflexive ring whose simple singular right R-module isYJ-injective, we prove that this type of ring is right weakly regular ring, we show that if R is N duo or NCI ring and R is right idempotent reflexive ring ...
doaj +1 more source
Projectivity and freeness over comodule algebras [PDF]
Let H be a Hopf algebra and A an H-simple right H-comodule algebra. It is shown that under certain hypotheses every (H,A)-Hopf module is either projective or free as an A-module and A is either a quasi-Frobenius or a semisimple ring. As an application it
Skryabin, S.
core +1 more source
On Simple-Direct Modules [PDF]
Recently, in a series of papers "simple" versions of direct-injective and direct-projective modules have been investigated. These modules are termed as "simple-direct-injective" and "simple-direct-projective", respectively. In this paper, we give a complete characterization of the aforementioned modules over the ring of integers and over semilocal ...
arxiv
On Blocks with One Simple Module in Any Brauer Correspondent
We prove that a block of a finite group such that the defect groups are abelian and all the Brauer correspondents (the block itself included) have a unique isomorphism class of simple modules is nilpotent.
L. Puig, A. Watanabe
semanticscholar +1 more source
Semiprime SF-rings whose essential left ideals are two-sided
It is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R-module is flat? In this note, we give a positive answer to the question.
Zhang Jule, Du Xhianneng
doaj +1 more source
Predicting Fluid Properties in the MUFITS Reservoir Simulator with User-Supplied Modules
We present a recent development of the MUFITS reservoir simulator aiming at modelling the transport of fluids whose properties and phase equilibria are calculated in a user-supplied external shared library.
Andrey Afanasyev, Ivan Utkin
doaj +1 more source