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Skew ring extensions and generalized monoid rings

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dc.contributor.author COJUHARI, E. P.
dc.contributor.author GARDNER, B. J.
dc.date.accessioned 2021-12-08T13:00:44Z
dc.date.available 2021-12-08T13:00:44Z
dc.date.issued 2018
dc.identifier.citation COJUHARI E. P., GARDNER, B. J. Skew ring extensions and generalized monoid rings. In: Acta Mathematica Hungarica. 2018, V. 154, Iss. 2, pp. 343-361. ISSN 1588-2632. en_US
dc.identifier.issn 1588-2632
dc.identifier.uri https://doi.org/10.1007/s10474-018-0787-x
dc.identifier.uri http://repository.utm.md/handle/5014/18315
dc.description Access full text - https://doi.org/10.1007/s10474-018-0787-x en_US
dc.description.abstract A D-structure on a ring A with identity is a family of self-mappings indexed by the elements of a monoid G and subject to a long list of rather natural conditions. The mappings are used to define a generalization of the monoid algebra A[G]. We consider two of the simpler types of D-structure. The first is based on a homomorphism from G to End(A) and leads to a skew monoid ring. We also explore connections between these D-structures and normalizing and subnormalizing extensions. The second type of D-structure considered is built from an endomorphism of A. We use D-structures of this type to characterize rings which can be graded by a cyclic group of order 2. en_US
dc.language.iso en en_US
dc.publisher Springer Nature Switzerland en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject skew polynomial rings en_US
dc.subject rings en_US
dc.subject skew monoid rings en_US
dc.subject graded rings en_US
dc.subject monoids en_US
dc.subject monoid algebra en_US
dc.title Skew ring extensions and generalized monoid rings en_US
dc.type Article en_US


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