dc.contributor.author | Oguz, Seda | |
dc.contributor.author | Karpuz, Eylem G. | |
dc.date.accessioned | 2019-07-27T12:10:23Z | |
dc.date.accessioned | 2019-07-28T09:44:31Z | |
dc.date.available | 2019-07-27T12:10:23Z | |
dc.date.available | 2019-07-28T09:44:31Z | |
dc.date.issued | 2016 | |
dc.identifier.issn | 1793-5571 | |
dc.identifier.issn | 1793-7183 | |
dc.identifier.uri | https://dx.doi.org/10.1142/S179355711650090X | |
dc.identifier.uri | https://hdl.handle.net/20.500.12418/7091 | |
dc.description | WOS: 000389311800021 | en_US |
dc.description.abstract | In [Finite presentability of Bruck-Reilly extensions of groups, J. Algebra 242 (2001) 2030], Araujo and RuAtic studied finite generation and finite presentability of Bruck Reilly extension of a group. In this paper, we aim to generalize some results given in that paper to generalized Bruck Reilly s -extension of a group. In this way, we determine necessary and sufficent conditions for generalized Bruck Reilly s-extension of a group, G R. (G; beta, gamma; u), to be finitely generated and finitely presented. Let G be a group, (3,-y: be morphisms and u is an element of H-1 (H-1(*) and H-1 are the ?-G- and ?-t-classes, respectively, contains the identity element kr of T). We prove that GE R* (G; 3, 7; u) is finitely generated if and only if there exists a finite subset Xo C G such that G is generated by ((boolean OR(i >= 0) X-0,beta(i))U(Uj >= 0X0 gamma(j)). We also prove that C superset of R.* (C; beta, gamma; u) is finitely presented if and only if G is presented by (X; R), where X is a finite set and R = (U i >= 0 R-0 beta(i)) boolean OR (U-j >= 0 R0 gamma(j)) = {w(1)beta(i) = upsilon(1)beta(i) : i >= 0, w(1) = v(1) is an element of H-1* for some finite set of relations R0 subset of X* x X*. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | en_US |
dc.relation.isversionof | 10.1142/S179355711650090X | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Generalized Bruck-Reilly extension | en_US |
dc.subject | finite generation | en_US |
dc.subject | finite presentability | en_US |
dc.title | Finite presentability of generalized Bruck Reilly *-extension of groups | en_US |
dc.type | article | en_US |
dc.relation.journal | ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | en_US |
dc.contributor.department | [Oguz, Seda] Cumhuriyet Univ, Fac Educ, Dept Sch Sci & Math Educ 2, TR-58140 Sivas, Turkey -- [Karpuz, Eylem G.] Karamanoglu Mehmetbey Univ, Kamil Ozdag Sci Fac, Dept Math, Yunus Emre Campus, TR-70100 Karaman, Turkey | en_US |
dc.identifier.volume | 9 | en_US |
dc.identifier.issue | 4 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |