Results 1 to 10 of about 2,160,854 (336)
Proceedings of the American Mathematical Society, 1957 Let G be a multiplicative group, K a commutative ring with unit, and K(G) the group ring of G with respect to K. We say that K(G) is regular if given an x in K(G), there is a y in K(G) such that xyx = x. Using a homological characterization of regular rings which was found independently by M.
Maurice Auslander
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NeutroAlgebra of Idempotents in Group Rings [PDF]
Neutrosophic Sets and Systems, 2022 In this paper, the authors study the new concept of NeutroAlgebra of idempotents in group rings. It is assumed that RG is the group ring of a group G over the ring R. R should be a commutative ring with unit 1.
Vasantha Kandasamy +1 more
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Some results on gorenstein flat (gorenstein cotorsion) dimensions of modules over group rings [PDF]
ریاضی و جامعه, 2022 Let $R$ be a commutative ring, Γ be a group, and Γ′ be a subgroup of finite index. In this paper, we study the class of Gorenstein flat (resp. Gorenstein cotorsion) modules over the group ring RΓ.
Ali Hajizamani
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Mathematics, 2023 Group signatures are a leading competing signature technique with a substantial amount of research. With group settings, group signatures provide user anonymity. Any group member with access to the group can generate a signature while remaining anonymous.
Nur Afiqah Suzelan Amir +2 more
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SIMULATION OF CLOSE-RANGE PHOTOGRAMMETRIC SYSTEMS FOR INDUSTRIAL SURFACE INSPECTION [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2013 Close-range photogrammetric measurement systems are increasingly used for high-precision surface inspection of car body parts. These measurement systems are based on an active light source, the projector, and one or more cameras.
T. Becker, M. Özkul, U. Stilla
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Proceedings of the American Mathematical Society, 1972 Two theorems showing the existence of primitive group rings are proved. THEOREM 1. Let G be a countable locally finite group and F a field of characteristic 0, or characteristic p if G has no elements of' order p. Then the group ring F[G] is primitive if and only if G has no finite normal subgroups. THEOREM 2. Let G be any grolp, and F afield.
Formanek, Edward, Snider, Robert L.
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Comprehensive Analysis of a Symbiotic Candidate V503 Her
The Astronomical Journal, 2023 V503 Her was previously proposed as an eclipsing symbiotic candidate based on photometric behavior and spectroscopic appearance indicating the composite optical spectrum.
Jaroslav Merc +12 more
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Public Key Protocols over Skew Dihedral Group Rings
Mathematics, 2022 This paper introduces skew dihedral group rings and their applications for public-key cryptography. We present a specific skew group ring that is the underlying algebraic platform for our cryptographic constructions.
Javier de la Cruz +2 more
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Advances in Civil Engineering, 2021 Numerical modeling is an effective and efficient method to investigate the stress distributions of backfill in stopes, which should be well understood in underground mining. Interface elements between backfill and rock in simulated stopes had been proved
Guangsheng Liu, Xiaocong Yang, Lijie Guo
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On Idempotent Units in Commutative Group Rings
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Special elements as units, which are defined utilizing idempotent elements, have a very crucial place in a commutative group ring. As a remark, we note that an element is said to be idempotent if r^2=r in a ring. For a group ring RG, idempotent units are
Ömer Küsmüş
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