Results 21 to 30 of about 596,380 (184)

Direct sums of J-rings and radical rings

International Journal of Mathematics and Mathematical Sciences, 1995
Let R be a ring, J(R) the Jacobson radical of R and P the set of potent elements of R. We prove that if R satisfies (∗) given x, y in R there exist integers m=m(x,y)>1 and n=n(x,y)>1 such that xmy=xyn and if each x∈R is the sum of a potent element and a ...
Xiuzhan Guo
doaj   +1 more source

Continuous refinements of some Jensen-type inequalities via strong convexity with applications

Journal of Inequalities and Applications, 2022
In this paper we prove new continuous refinements of some Jensen type inequalities in both direct and reversed forms. As applications we also derive some continuous refinements of Hermite–Hadamard, Hölder, and Popoviciu type inequalities.
Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec   +2 more
doaj   +1 more source

ON MONO-INJECTIVE MODULES AND MONO-OJECTIVE MODULES [PDF]

, 2013
In [5] and [6], we have introduced a couple of relative generalized epi-projectivities and given several properties of these projectivities. In this paper, we consider relative generalized injectivities that are dual to these relative projectivities and ...
Keskin Tütüncü, Derya, Kuratomi, Yosuke   +1 more
core   +1 more source

Asymptotically Hilbertian Modular Banach Spaces: Examples of Uncountable Categoricity

, 2016
We give a criterion ensuring that the elementary class of a modular Banach space E (that is, the class of Banach spaces, some ultrapower of which is linearly isometric to an ultrapower of E) consists of all direct sums E\oplus_m H, where H is an ...
Henson, C. Ward, Raynaud, Yves
core   +1 more source

On Commutative Rings Whose Prime Ideals Are Direct Sums of Cyclics [PDF]

, 2012
In this paper we study commutative rings $R$ whose prime ideals are direct sums of cyclic modules. In the case $R$ is a finite direct product of commutative local rings, the structure of such rings is completely described. In particular, it is shown that
Behboodi, Mahmood, Moradzadeh-Dehkordi, Ali   +1 more
core   +3 more sources

Relative injectivity and CS-modules

International Journal of Mathematics and Mathematical Sciences, 1994
In this paper we show that a direct decomposition of modules M⊕N, with N homologically independent to the injective hull of M, is a CS-module if and only if N is injective relative to M and both of M and N are CS-modules. As an application, we prove that
Mahmoud Ahmed Kamal
doaj   +1 more source

Direct sums of trace maps and self-adjoint extensions

, 2014
We give a simple criterion so that a countable infinite direct sum of trace (evaluation) maps is a trace map. An application to the theory of self-adjoint extensions of direct sums of symmetric operators is provided; this gives an alternative approach to
Posilicano, Andrea
core   +1 more source

Computing direct sum decompositions

Journal of Symbolic Computation
We describe and prove correctness of two practical algorithms for finding indecomposable summands of finitely generated modules over a finitely generated k-algebra R. The first algorithm applies in the (multi)graded case, which enables the computation of indecomposable summands of coherent sheaves on subvarieties of toric varieties (in particular, for ...
Devlin Mallory, Mahrud Sayrafi
openaire   +2 more sources

Fuzzy Stability Results of Generalized Quartic Functional Equations

Mathematics, 2021
In the present paper, we introduce a new type of quartic functional equation and examine the Hyers–Ulam stability in fuzzy normed spaces by employing the direct method and fixed point techniques.
Sang Og Kim, Kandhasamy Tamilvanan
doaj   +1 more source

Line arrangements and direct sums of free groups

, 2010
We show that if the fundamental groups of the complements of two line arrangements in the complex projective plane are isomorphic to the same direct sum of free groups, then the complements of the arrangements are homotopy equivalent.
Jiang, Kristopher Williams, Orlik, White
core   +1 more source