Results 11 to 20 of about 1,460,669 (274)
Bulletin of the Australian Mathematical Society, 2011 AbstractSeveral characterizations are given of (Zelmanowitz) regular modules among the torsionless modules, the locally projective modules, the nonsingular modules, and modules where certain submodules are pure. Along the way, a version of the unimodular row lemma for torsionless modules is given, and it is shown that a regular ring is left self ...
HUANYIN CHEN, W. K. NICHOLSON
openaire +2 more sources
On regular fusible modules [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasIn this article, we introduce the notion of regular fusible modules. Let $R$ be a ring with an identity and $M$ an $R$-module. An element $0\neq m\in M$ is said to be regular fusible if there exists $r\in R$, a non zero-divisor of $M$, such that $mr$ can be written as the sum of a torsion element and a torsion free element in $M$. $M$ is called regular
Osama A. Naji +3 more
core +4 more sources
Virtually regular modules [PDF]
Journal of Algebra and Its ApplicationsIn this paper, we call a right module [Formula: see text] (strongly) virtually regular if every (finitely generated) cyclic submodule of [Formula: see text] is isomorphic to a direct summand of [Formula: see text]. [Formula: see text] is said to be completely virtually regular if every submodule of [Formula: see text] is virtually regular.
Engi̇n Büyükaşık +1 more
core +4 more sources
Characterizations of rings and modules by means of lattices [PDF]
, 1965 PhDIn this thesis we study the relationship between the lattice of submodules and the algebraic structure of a module. The key remark in our study will be the fact that the homomorphisms between two independent submadules of a module can be ...
Stephenson, W.
core +4 more sources
Regular and semisimple modules [PDF]
Pacific Journal of Mathematics, 1976 is a T-ring.(1)—>(3b). A semisimple module is torsion.(3)—>(1). This is an immediate consequence of Lemma 4.Neither (3a) nor (3b) is sufficient by itself to imply (1). TomShorem has shown (unpublished) that the product of an infinitenumber of fields (or an infinite number of copies of a single field)is a T-ring. Thus (3a) does not imply (1).
Cheatham, T. J., Smith, J. R.
openaire +3 more sources
Endotrivial modules in the cyclic case. [PDF]
, 2007 The purpose of this note is to determine all endotrivial modules in prime characteristic~$p$, for a finite group having a cyclic Sylow $p$-subgroup.
Mazza, Nadia, Thevenaz, Jacques
core +6 more sources
The group of endotrivial modules in the normal case. [PDF]
, 2007 The group of endotrivial modules has recently been determined for a finite group having a normal Sylow $p$-subgroup. In this paper, we give and compare three different presentations of a torsion-free subgroup of maximal rank of the group of endotrivial ...
Mazza, Nadia
core +5 more sources
The regular module problem, III [PDF]
Journal of Algebra, 1990 In the study of induced representations the following problem arises: Let H = A G
Berger, T.R, Hargraves, B.B, Shelton, C
openaire +2 more sources
REGULARITY AND RESOLUTIONS FOR MULTIGRADED MODULES [PDF]
Journal of Algebra and Its Applications, 2007 This paper is concerned with the relationships between two concepts, vanishing of cohomology groups and the structure of free resolutions. In particular, we study the connection between vanishing theorems for the local cohomology of multigraded modules and the structure of their free multigraded resolutions.
Hoffman, Jerome W., Wang, Haohao
openaire +3 more sources
Characterizations of Weakly Approximately Primary Submodules in Some Types of Modules
Tikrit Journal of Pure Science, 2021 Our aim in this note is to introduce several characterizations of weakly approximately primary submodules in class of multiplication modules. Furthermore, we characterized weakly approximately primary submodules by theirs resudule in the class of ...
Khaled Y. Jhad, Bothaynah N. Shahab
doaj +1 more source