{"title":"A New Criterion for Embeddability in a Zero‐Dimensional Commutative Ring","authors":"R. Gilmer","doi":"10.1201/9780429187902-17","DOIUrl":"https://doi.org/10.1201/9780429187902-17","url":null,"abstract":"","PeriodicalId":411392,"journal":{"name":"Ideal Theoretic Methods in Commutative Algebra","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117281811","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":"Categorically Domains: Highlighting The (Domain) Work of James A. Huckaba","authors":"I. Papick","doi":"10.1201/9780429187902-23","DOIUrl":"https://doi.org/10.1201/9780429187902-23","url":null,"abstract":"","PeriodicalId":411392,"journal":{"name":"Ideal Theoretic Methods in Commutative Algebra","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115056784","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":"Ideals Having a One-Dimensional Fiber Cone","authors":"M. D'anna, Anna Guerrieri, W. Heinzer","doi":"10.1201/9780429187902-13","DOIUrl":"https://doi.org/10.1201/9780429187902-13","url":null,"abstract":"For a regular ideal I having a principal reduction in a Noetherian local ring (R,m) we consider properties of the powers of I as reflected in the fiber cone F (I) and the associated graded ring G(I) of I. In particular, we examine the postulation number of F (I) and compare it with the reduction number of I, and the postulation number of G(I) when the latter is meaningful. We discuss a sufficient condition for F (I) to be Cohen–Macaulay and consider for a fixed R what is possible for the reduction number r(I) of I and the multiplicity of F (I).","PeriodicalId":411392,"journal":{"name":"Ideal Theoretic Methods in Commutative Algebra","volume":"303 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122237645","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":"Stability of Ideals and its Applications","authors":"Jim Huckaba","doi":"10.1201/9780429187902-22","DOIUrl":"https://doi.org/10.1201/9780429187902-22","url":null,"abstract":"","PeriodicalId":411392,"journal":{"name":"Ideal Theoretic Methods in Commutative Algebra","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121107334","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 Factorial Rings with Zero Divisors","authors":"G. Chang","doi":"10.1201/9780429187902-10","DOIUrl":"https://doi.org/10.1201/9780429187902-10","url":null,"abstract":"","PeriodicalId":411392,"journal":{"name":"Ideal Theoretic Methods in Commutative Algebra","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123308801","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":"Towards a Criterion for Isomorphisms of Complexes","authors":"S. Cutkosky, H. Srinivasan","doi":"10.1201/9780429187902-12","DOIUrl":"https://doi.org/10.1201/9780429187902-12","url":null,"abstract":"","PeriodicalId":411392,"journal":{"name":"Ideal Theoretic Methods in Commutative Algebra","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131766019","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":"Abstract Ideal Theory from Krull to the Present","authors":"D. D. Anderson, E. Johnson","doi":"10.1201/9780429187902-3","DOIUrl":"https://doi.org/10.1201/9780429187902-3","url":null,"abstract":"","PeriodicalId":411392,"journal":{"name":"Ideal Theoretic Methods in Commutative Algebra","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116787070","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":"Equivalence Classes of Minimal Zero‐Sequences Modulo a Prime","authors":"S. Chapman, M. Freeze, W. W. Smith","doi":"10.1201/9780429187902-11","DOIUrl":"https://doi.org/10.1201/9780429187902-11","url":null,"abstract":"","PeriodicalId":411392,"journal":{"name":"Ideal Theoretic Methods in Commutative Algebra","volume":"22 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134449605","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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