Pub Date : 2019-05-01DOI: 10.35834/MJMS/1559181628
C. Caprau, Kelsey Friesen
We extend the Kamada-Miyazawa polynomial to virtual singular links, which is valued in $mathbb{Z}[A^2, A^{-2}, h]$. The decomposition of the resulting polynomial into two components, one in $mathbb{Z}[A^2, A^{-2}]$ and the other in $mathbb{Z}[A^2, A^{-2}]h$ yields the decomposition of the Kauffman-Jones polynomial of virtual singular links into two components, one in $mathbb{Z}[A^2, A^{-2}]$ and the other in $mathbb{Z}[A^2, A^{-2}]A^2$, where both components are invariants for virtual singular links.
{"title":"On the Kauffman-Jones Polynomial for Virtual Singular Links","authors":"C. Caprau, Kelsey Friesen","doi":"10.35834/MJMS/1559181628","DOIUrl":"https://doi.org/10.35834/MJMS/1559181628","url":null,"abstract":"We extend the Kamada-Miyazawa polynomial to virtual singular links, which is valued in $mathbb{Z}[A^2, A^{-2}, h]$. The decomposition of the resulting polynomial into two components, one in $mathbb{Z}[A^2, A^{-2}]$ and the other in $mathbb{Z}[A^2, A^{-2}]h$ yields the decomposition of the Kauffman-Jones polynomial of virtual singular links into two components, one in $mathbb{Z}[A^2, A^{-2}]$ and the other in $mathbb{Z}[A^2, A^{-2}]A^2$, where both components are invariants for virtual singular links.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49312373","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}
Pub Date : 2019-05-01DOI: 10.35834/MJMS/1559181624
Y. Jun, Aiyared Iampan
{"title":"Shift Up-Filters and Decompositions of Up-Filters in Up-Algebras","authors":"Y. Jun, Aiyared Iampan","doi":"10.35834/MJMS/1559181624","DOIUrl":"https://doi.org/10.35834/MJMS/1559181624","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.35834/MJMS/1559181624","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45875264","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}
A module is called coneat injective if it is injective with respect to all coneat exact sequences. The class of such modues is enveloping and falls properly between injectives and pure injectives. Generalizations of coneat injectivity, like relative coneat injectivity and full invariance of a module in its coneat injective envelope, are studied. Using properties of such classes of modules, we characterize certain types of rings like von Neumann regular and right SF-rings. For instance, R is a right SF-ring if and only if every coneat injective left R-module is injective.
{"title":"Coneat Injective Modules","authors":"M. Hamid","doi":"10.35834/2019/3102201","DOIUrl":"https://doi.org/10.35834/2019/3102201","url":null,"abstract":"A module is called coneat injective if it is injective with respect to all coneat exact sequences. The class of such modues is enveloping and falls properly between injectives and pure injectives. Generalizations of coneat injectivity, like relative coneat injectivity and full invariance of a module in its coneat injective envelope, are studied. Using properties of such classes of modules, we characterize certain types of rings like von Neumann regular and right SF-rings. For instance, R is a right SF-ring if and only if every coneat injective left R-module is injective.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2019-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46552973","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}
Pub Date : 2018-11-01DOI: 10.35834/mjms/1544151688
P. Costello, Ranthony A. C. Edmonds
{"title":"Gaussian Amicable Pairs","authors":"P. Costello, Ranthony A. C. Edmonds","doi":"10.35834/mjms/1544151688","DOIUrl":"https://doi.org/10.35834/mjms/1544151688","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46200619","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}
Pub Date : 2018-11-01DOI: 10.35834/mjms/1544151695
S. Lohaj, V. R. Hamiti
{"title":"A Note on Class $Q(N)$ Operators","authors":"S. Lohaj, V. R. Hamiti","doi":"10.35834/mjms/1544151695","DOIUrl":"https://doi.org/10.35834/mjms/1544151695","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47026202","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}
Pub Date : 2018-11-01DOI: 10.35834/MJMS/1544151689
R. Hemasinha, Avinash Dalal, Donald McGinn
{"title":"Mozes' Game of Numbers on Directed Graphs","authors":"R. Hemasinha, Avinash Dalal, Donald McGinn","doi":"10.35834/MJMS/1544151689","DOIUrl":"https://doi.org/10.35834/MJMS/1544151689","url":null,"abstract":"","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42064174","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}
Pub Date : 2018-07-07DOI: 10.35834/mjms/1544151693
Nat Sothanaphan
We extend results of Bongiovanni et al. on double bubbles on the line with log-convex density to the case where the derivative of the log of the density is bounded. We show that the tie function between the double interval and the triple interval still exists but may blow up to infinity in finite time. For the first time, a density is presented for which the blowup time is positive and finite.
{"title":"Double Bubbles on the Line with Log-Convex Density $f$ with $(log f)'$ Bounded","authors":"Nat Sothanaphan","doi":"10.35834/mjms/1544151693","DOIUrl":"https://doi.org/10.35834/mjms/1544151693","url":null,"abstract":"We extend results of Bongiovanni et al. on double bubbles on the line with log-convex density to the case where the derivative of the log of the density is bounded. We show that the tie function between the double interval and the triple interval still exists but may blow up to infinity in finite time. For the first time, a density is presented for which the blowup time is positive and finite.","PeriodicalId":42784,"journal":{"name":"Missouri Journal of Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2018-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41931087","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}
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