{"title":"Are nil-clean 3 × 3 integral matrices, exchange?","authors":"G. Călugăreanu, Horia F. Pop","doi":"10.47743/ANSTIM.2021.00013","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00013","url":null,"abstract":"We expose multiple efforts made trying to give an answer to the question in the title. Some of these were possible only with computer aid. Summarizing, the authors belief is that the question has an affirmative answer.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"171-186"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70889700","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":"Extended zero divisor graph on commutative semigroup","authors":"M. Ashraf, Mohit Kumar","doi":"10.47743/ANSTIM.2021.00021","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00021","url":null,"abstract":"In this paper, we study the extended zero divisor graph EG(S) associated to a commutative semigroup S with zero. Also, we characterize all extended zero divisor graphs with three vertices.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"295-308"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70890103","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":"New generalization of midpoint type inequalities for fractional integral","authors":"H. Budak, Rabia Kapucu","doi":"10.47743/ANSTIM.2021.00009","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00009","url":null,"abstract":"In this paper, we firstly obtain a new generalized identity for Riemann-Liouville fractional integrals. Then, utilizing this equality, we obtain some Midpoint type inequalities for convex and concave functions. We also give several remarks and corollaries as spacial cases.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"67 1","pages":"113-128"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70889563","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":"Magic conics, their integer points and complementary\u0000ellipses","authors":"M. Crasmareanu","doi":"10.47743/ANSTIM.2021.00010","DOIUrl":"https://doi.org/10.47743/ANSTIM.2021.00010","url":null,"abstract":"The aim of this paper is to introduce and study the class of conics provided by the symmetric matrices of the 3 × 3 magic squares. This class depends on three real parameters and various relationships between these parameters give special subclasses of conics. Although there are no magic circles we find an ellipse, a parabola and two hyperbolas of magic type. A search of integer points and a complex approach are also included. We study also a pair of complementary ellipses, called Pythagorean.","PeriodicalId":55523,"journal":{"name":"Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70889709","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}