[PDF] Top 20 On linear difference equations over rings and modules

... of linear difference equations over base fields is well understood, the theory over arbitrary ground rings and modules is still under ... See full document

... Throughout rings are associative with identity, modules are unitary right R- modules, and homomorphisms are module homomorphisms. The notations pdM, idM, and fdMdenote the projective, injective, flat ... See full document

... of modules over group rings is an important direction of ...algebra. Modules over group rings of finite groups have been studied by many ...of modules was investigated in ... See full document

... In this paper we introduce and investigate the notion of s-injective Modules and Rings. A right R-module M is called right s-N-injective, where N is a right R-module, if every R-homomorphism f K : → M ... See full document

... of τ-torsion submodules of M. A torsion theory will be called hereditary if T is closed under submodules and it will be called cohereditary if F is closed under factor modules. Standard results and terminology on ... See full document

... Modules over group rings of finite groups have been considered by many ...of modules was investigated in [9]. Study of modules over group rings of infinite groups requires ... See full document

... The concept of weakly prime submodule was introduced and studied by Behboodi and Koohi [5]. We recall that a proper submodule N of M is called a weakly prime submodule, if 0 6= rm ∈ N , where r ∈ R, m ∈ M , then m ∈ N or ... See full document

... -finite modules to describe in a very down-to-earth manner certain annihilator submodules of some top local cohomology modules over Gorenstein ...Gorenstein rings in terms of ideals in a ... See full document

... of modules over a diagram of ring spectra (or differential graded rings) is Quillen equivalent to modules over the associated inverse limit of the ... See full document

... all rings are commutative with identity and all mod- ules are ...to modules over com- mutative ...R- modules whose associated graphs are complete is completely characterized (see Theorem ... See full document

... Given a group G, when can we embed k [G] into a division ring? While other forms of localization might be possible, the Ore condition says that k [G] has a right ring of fractions (taking S = k [G] f 0 g ) if and only if ... See full document

... M over a commutative ring R denoted by T (Γ(M )) was introduced by Ebrahimi Atani and Habibi in [12], as the graph with all elements of M as vertices, and two distinct ... See full document

... Starting with the spectacular proof of the three dimensional case of the Bondal– Orlov conjecture [11], suitably interpreted by Van den Bergh [58], there has been strong evidence that these objects could be viewed as ... See full document

... Abstract. Let R be a local ring with maximal ideal m admitting a non-zero element a ∈ m for which the ideal (0 : a) is isomorphic to R/aR. We study minimal free resolutions of finitely generated R-modules M , with ... See full document

... difference equations is extensive, and application of this theory is rapidly increasing to various ...difference equations, we choose to refer to the books by Agarwal 1, Elaydi 2, and Kelley and Peterson ... See full document

... Using fixed-point methods, we investigate the Hyers-Ulam stability of the functional equation (.) in Banach modules over a C ∗ -algebra. These results are applied to inves- tigate C ∗ -algebra ... See full document

... Example . The tower of Hanoi puzzle (see []) is an initial value problem of a linear non-homogeneous difference equation of order : a(k)–a(k –) =  for k ≥  and a() = . The corresponding sequences b = (, ... See full document

... The generalized system of piecewise linear difference equations examined in this paper was created as a prototype to understand the global behavior of more complicated systems. We believe that this paper ... See full document

... of difference equations; see, for example papers [1 -11] and references cited there ...of difference equation with deviating argument and nonnegative ... See full document

... Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we ... See full document