Skew ring extensions and generalized monoid rings

COJUHARI, E. P.; GARDNER, B. J.

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