Results 21 to 30 of about 3,213,924 (323)
On the associated graded ring of a semigroup ring [PDF]
, 2010 Let (R;m) be a numerical semigroup ring. In this paper we study the properties of its associated graded ring G(m). In particular, we describe the H^0_M for G(m) (where M is the homogeneous maximal ideal of G(m)) and we characterize when G(m) is Buchsbaum.
M. D'anna, V. Micale, Alessio Sammartano
semanticscholar +1 more source
Rings Graded By a Generalized Group
Topological Algebra and its Applications, 2014 The aim of this paper is to consider the ringswhich can be graded by completely simple semigroups.We show that each G-graded ring has an orthonormal basis, where G is a completely simple semigroup. Weprove that if I is a complete homogeneous ideal of a G-
Fatehi Farzad, Molaei Mohammad Reza
doaj +1 more source
Applied General Topology, 2022 Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)). In this paper, we define a topology on PSG(M)
Saif Salam, Khaldoun Al-Zoubi
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IEEE Access, 2018 In this paper, a novel hollow-core ring photonic crystal fiber (HR-PCF) is proposed based on As2S3. It supports the transmission of up to 38 orbital angular momentum (OAM) modes.
Chunhua Jia +8 more
semanticscholar +1 more source
Some properties of graded comultiplication modules
Open Mathematics, 2017 Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded comultiplication modules over a commutative graded ring.
Al-Zoubi Khaldoun, Al-Qderat Amani
doaj +1 more source
ON GRADED INJECTIVE DIMENSION [PDF]
Journal of Algebraic Systems, 2019 There are remarkable relations between the graded homological dimensions and the ordinary homological dimensions. In this paper, we study the injective dimension of a complex of graded modules and derive its some properties. In particular, we define the $
Akram Mahmoodi, Afsaneh Esmaeelnezhad
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Spectra of units for periodic ring spectra and group completion of graded E-infinity spaces [PDF]
, 2015 We construct a new spectrum of units for a commutative symmetric ring spectrum that detects the difference between a periodic ring spectrum and its connective cover. It is augmented over the sphere spectrum.
Boardman +11 more
core +2 more sources
Optics Express, 2017 We present a design of graded-index ring-core fiber (GI-RCF) supporting 3 linearly polarized (LP) mode-groups (i.e. LP01, LP11 and LP21) with a single radial index of one for mode-division multiplexed (MDM) transmission.
Feng Feng +10 more
semanticscholar +1 more source
On equivalence of graded rings
International Journal of Mathematics and Mathematical Sciences, 1998 Let R=⊕g∈GRg be a G-graded ring. In this paper we define the homogeneousequivalence concept between graded rings. We discuss some properties of the G-graded rings and investigate which of these are preserved under homogeneous-equivalence maps ...
Mashhoor Refai, Sofyan Obiedat
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On Properties of Graded Rings with respect to Group Homomorphisms
International Journal of Mathematics and Mathematical Sciences, 2023 Let G be a group and R be a G-graded ring with non-zero unity. The goal of our article is reconsidering some well-known concepts on graded rings using a group homomorphism α:G⟶G. Next is to examine the new concepts compared to the known concepts.
Azzh Saad Alshehry +2 more
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