Fazlahmad Abbasnia, K. Khashyarmanesh, Ahmad Erfanian
{"title":"Common zero-divisor graph over a commutative ring","authors":"Fazlahmad Abbasnia, K. Khashyarmanesh, Ahmad Erfanian","doi":"10.1142/s1793557123502455","DOIUrl":"https://doi.org/10.1142/s1793557123502455","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"16 S4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138975376","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":"Some combinatorial identities","authors":"Pankaj Kumar, Riddhi","doi":"10.1142/s1793557123502431","DOIUrl":"https://doi.org/10.1142/s1793557123502431","url":null,"abstract":"If j = 2 in (C6) , we obtain (3.7) a 2 001 + a 2 011 + a QQ1 a Q11 = 1. Using (3.6) and (3.7) along with the fact that a 0 0 1 = 1, we see that # 0 1 1 = 0. Since all the variables in (C7) have already been uniquely determined, we proceed to (C8), where we obtain c 2-~ 2 and (3.9) a 2 , + 2 + a a = i, (3.8) a 2 0Q1 + a 1 0 1 + 2 a 0 0 1 a 1 0 1 = 1 so that a 101 = 0. From (C10), we obtain and (3.11) a 2 010 + al lQ + a 0 1 0 a 1 1 0 = 1, so that a 110-0. From (C12) , we obtain, after simplification, (3.12) al ±1 + 2a l l x = 0 and (3.13) a 2 11 + a 1±1 = 0, so that a 111 = 0. We have now uniquely determined all 27 coefficients in (3.1). Thus, is the only reduced local permutation polynomial in three variables over Z 3 and, hence, there is precisely one reduced Latin cube of order three. If we list the cube in terms of the three Latin squares of order three which form its different levels, we can list the only reduced Latin cube of order three as 012 120 201 120 201 012 201 012 120. In this paper, we wish to derive some combinatorial identities (partly known, partly apparently new) by combining well-known recurrence relations with known forms for characteristic polynomials of paths and cycles (i.e., of their adjacency matrices). We also obtain some extensions of known results .","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":" 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138614019","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":"Radius problems for Ratios of analytic functions involving sigmoid domain","authors":"Gurpreet Kaur, S. Nagpal","doi":"10.1142/s179355712350239x","DOIUrl":"https://doi.org/10.1142/s179355712350239x","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"286 ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139244830","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 Local spectral properties for the Operator Products","authors":"Soufiane Hadji","doi":"10.1142/s1793557123502406","DOIUrl":"https://doi.org/10.1142/s1793557123502406","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"8 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139245998","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":"A generalization of uniqueness theorems of meromorphic mappings from complete kahler manifolds","authors":"N. Nhung, Lê Ngọc Quỳnh, Pham Duc Thoan","doi":"10.1142/s179355712350242x","DOIUrl":"https://doi.org/10.1142/s179355712350242x","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"4 10","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139244127","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":"An iterative algorithm to approximate the solution of a weighted fractional integral equation","authors":"Anupam Das, Mohsen Rabbani, Bipan Hazarika","doi":"10.1142/s1793557123502418","DOIUrl":"https://doi.org/10.1142/s1793557123502418","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"12 4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139243863","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":"Weakly p.q.-Baer skew Hurwitz series rings","authors":"B. Khoshnood Gharalar, A. Moussavi","doi":"10.1142/s1793557123502352","DOIUrl":"https://doi.org/10.1142/s1793557123502352","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"25 4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139267034","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":"Describing the Group of Units of Integral Grouprings ℤD8 and ℤD12","authors":"Sandeep Malik, R. K. Sharma","doi":"10.1142/s1793557123502364","DOIUrl":"https://doi.org/10.1142/s1793557123502364","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"24 4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139269946","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":"Universal adjacency spectrum of the commuting and non-commuting graphs on AC-groups","authors":"Saraswati Bajaj, P. Panigrahi","doi":"10.1142/s1793557123502376","DOIUrl":"https://doi.org/10.1142/s1793557123502376","url":null,"abstract":"","PeriodicalId":45737,"journal":{"name":"Asian-European Journal of Mathematics","volume":"63 5","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139267523","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}