{"title":"Some Outer Commutator Multipliers and Capability of Nilpotent Products of Cyclic Groups","authors":"M. Parvizi, Behrooz Mashayekhy","doi":"10.5373/JARPM.716.010911","DOIUrl":"https://doi.org/10.5373/JARPM.716.010911","url":null,"abstract":"In this paper, first we obtain an explicit formula for an outer commutator multiplier of nilpotent products of cyclic groups with respect to the variety [Nc1 ,Nc2 ], NcM(Z n Z n ··· n Z n Zr1 n ∗ Zr2 n ··· n ∗ Zrt )","PeriodicalId":246536,"journal":{"name":"Journal of Advanced Research in Pure Mathematics","volume":"5 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128302385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Common Fixed Point Results in G-Cone Metric Spaces","authors":"Ismat Beg, M. Abbas, T. Nazir","doi":"10.5373/JARPM.408.041310","DOIUrl":"https://doi.org/10.5373/JARPM.408.041310","url":null,"abstract":"In common flxed point results for two maps deflned on a Gicone met- ric space, satisfying generalized contractive conditions are obtained. These results generalize, improve and unify several well known comparable results in the literature.","PeriodicalId":246536,"journal":{"name":"Journal of Advanced Research in Pure Mathematics","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132741848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Polynilpotent Capability of Finitely Generated Abelian Groups","authors":"Behrooz Mashayekhy, M. Parvizi, S. Kayvanfar","doi":"10.5373/JARPM.351.012510","DOIUrl":"https://doi.org/10.5373/JARPM.351.012510","url":null,"abstract":"In this paper we determine all finitely generated abelian groups which are varietal capable with respect to the variety of polynilpotent groups. This result is a vast generalization of the famous Baer's result about capability of finitely generated abelian groups.","PeriodicalId":246536,"journal":{"name":"Journal of Advanced Research in Pure Mathematics","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2010-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123100874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}