Producing set-theoretic complete intersection monomial curves in ℙn

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2009

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.
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International Relations
(1997)
The Atılım University Department of International Relations was founded in 1997. International relations is a field of science where the relations among states, organizations and other players in the international system are researched and observed. The field of international relations is also an interdisciplinary field, combining areas such as economy, history and political science to research on topics such as human rights, global poverty, environment, economy, globalization, security and global ethics. Offering three Graduate Degree programs in addition to the undergraduate program, the Department of International Relations continues to graduate individuals from its Graduate Degree Program in European Union Studies, as well as its Graduate Degree programs in Turkish and English.

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Abstract

In this paper we describe an algorithm for producing infinitely many examples of set-theoretic complete intersection monomial curves in ℙn+1, starting with a single set-theoretic complete intersection monomial curve in ℙn. Moreover we investigate the numerical criteria to decide when these monomial curves can or cannot be obtained via semigroup gluing. © 2008 American Mathematical Society.

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Keywords

Monomial curves, Set-theoretic complete intersections

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7

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Proceedings of the American Mathematical Society

Volume

137

Issue

4

Start Page

1223

End Page

1233

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https://doi.org/10.1090/S0002-9939-08-09653-6
 https://hdl.handle.net/20.500.14411/3614

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