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Good Magma Gradings On Rings
Högskolan Väst, Institutionen för ingenjörsvetenskap, Avd för naturvetenskap, lantmäteri- och maskinteknik. (PTW)ORCID-id: 0000-0001-6594-7041
2014 (engelsk)Inngår i: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 42, nr 12, s. 5357-5373Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Suppose that G and H are magmas and that R is a strongly G-graded ring. We show that there is a bijection between the set of good (zero) H-gradings of R and the set of (zero) magma homomorphisms from G to H. Thereby we generalize a result by Dascalescu, Ion, Nastasescu and Rios Montes from group gradings of matrix rings to strongly magma graded rings. We also show that there is an isomorphism between the preordered set of good (zero) H-filters on R and the preordered set of (zero) submagmas of G \times H. These results are applied to category graded rings and, in particular, to the case when G and H are groupoids. In the latter case, we use this bijection to determine the cardinality of the set of good H-gradings on R.

sted, utgiver, år, opplag, sider
2014. Vol. 42, nr 12, s. 5357-5373
Emneord [en]
Category filtered ring, Category graded ring, Magma filtered ring, Magma graded ring, 16W50, 16W70
HSV kategori
Forskningsprogram
TEKNIK, Matematik
Identifikatorer
URN: urn:nbn:se:hv:diva-3835DOI: 10.1080/00927872.2011.616563ISI: 000337937700018Scopus ID: 2-s2.0-84902664414OAI: oai:DiVA.org:hv-3835DiVA, id: diva2:453721
Tilgjengelig fra: 2011-11-03 Laget: 2011-11-03 Sist oppdatert: 2019-05-10bibliografisk kontrollert

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