Barucci, Valentina. <br/><br/>
Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains. 

 - 1st ed. 
 - 1 online resource (95 pages) 
 - Memoirs of the American Mathematical Society ;  v.125 .
 - Memoirs of the American Mathematical Society .
<br/><br/>Intro -- Contents -- Abstract -- Introduction -- Chapter I. Maximality Properties in Numerical Semigroups -- 1. Symmetric semigroups and pseudo-symmetric semigroups -- 2. The Lipman semigroup of an ideal and semigroups of maximal embedding dimension -- 3. Arf semigroups -- 4. Symmetric or pseudo-symmetric Arf semigroups -- 5. Propinquity of symmetric Arf semigroups -- 6. Arf semigroups and degree of singularity -- Chapter II. Maximality Properties in One-Dimensional Analytically Irreducible Local Domains -- 1. Gorenstein domains and Kunz domains -- 2. Domains with maximal embedding dimension and Arf domains -- 3. Arf Gorenstein domains and Arf Kunz domains -- 4. Gorenstein overrings of a Gorenstein domain -- 5. One-dimensional analytically irreducible local Arf domains and degree of singularity -- References. 
<br/><br/><label>ISBN: </label>9781470401832 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Noetherian rings.<br/>Semigroups.<br/>Ideals (Algebra).
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA251.3 -- .B378 1997eb 
<br/><br/><label>Dewey Class. No.: </label>512/.4