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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