Results 231 to 240 of about 62,426 (258)
Some of the next articles are maybe not open access.
The Jacobson Radical and Regular Modules
Canadian Mathematical Bulletin, 1975Let A be an associative, but not necessarily commutative, ring with identity, and J = J(A) its Jacobson radical. A (unital) module is regular iff every submodule is pure (see (1)). The regular socle R(M) of a module M is the sum of all its submodules which are regular. These concepts have been introduced and studied in (2).
openaire +2 more sources
Regular multiplication modules
Periodica Mathematica Hungarica, 1995This paper deals with the following two properties of a module \(M\) over a commutative ring \(R\) [see \textit{T. Cheatham} and \textit{E. Enochs}, Math. Jap. 26, 9-12 (1981; Zbl 0466.16013)]: \(F\) regularity (i.e., each submodule of \(M\) is pure); \(\mathbb{Z}\) regularity (i.e., for each \(m\in M\) there is a homomorphism \(\ell:M\to \mathbb{R ...
openaire +2 more sources
Mathematical Notes of the Academy of Sciences of the USSR, 1976
In this paper we introduce the concept of a module regular in the sense of von Neumann. We construct a regular completion of a module X torsion-free relative to a filter\(\mathfrak{F}_R \) of dense modules over a commutative semiprimary ring R. The paper's main result is a theorem that module X is divisible (is injective relative to filter\(\mathfrak{F}
openaire +1 more source
In this paper we introduce the concept of a module regular in the sense of von Neumann. We construct a regular completion of a module X torsion-free relative to a filter\(\mathfrak{F}_R \) of dense modules over a commutative semiprimary ring R. The paper's main result is a theorem that module X is divisible (is injective relative to filter\(\mathfrak{F}
openaire +1 more source
Regular geometries for folded optical modules
Applied Optics, 1995We present three new three-dimensional right-cylindrical folded modular interconnection architectures. To compare these systems among each other and with earlier designs, we introduce several figures of merit. The figures of merit describe such aspects of the system as the compactness, the relative angles of the optical axis to optical elements in the ...
M P, Schamschula +3 more
openaire +2 more sources
NEW TYPES OF REGULAR GAMMA MODULES
Missouri Journal of Mathematical ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zyarah, Ali Abd Alhussein +1 more
openaire +1 more source
1998
A regular module is any module M satisfying the following equivalent conditions. (1) Every cyclic submodule of M is a direct summand of M. (2) Every finitely generated submodule of M is a direct summand of M.
openaire +1 more source
A regular module is any module M satisfying the following equivalent conditions. (1) Every cyclic submodule of M is a direct summand of M. (2) Every finitely generated submodule of M is a direct summand of M.
openaire +1 more source
The fundamental theorem of affine geometry in regular L0-modules
Journal of Mathematical Analysis and Applications, 2022Tiexin Guo
exaly
Degree of Irregularity and Regular Formal Modules in Local Fields
Vestnik St Petersburg University: Mathematics, 2020Vostokov S V, S V Vostokov
exaly
Modules Whose Endomorphism Rings are Unit-Regular
Communications in Algebra, 2016Gangyong Lee, Xiaoxiang Zhang
exaly
Modules Whose Endomorphism Rings are Von Neumann Regular
Communications in Algebra, 2013Gangyong Lee, S Tariq Rizvi
exaly