Use my Search Websuite to scan PubMed, PMCentral, Journal Hosts and Journal Archives, FullText. Kick-your-searchterm to multiple Engines kick-your-query now !>

A dictionary by aggregated review articles of nephrology, medicine and the life sciences Your one-stop-run pathway from word to the immediate pdf of peer-reviewed on-topic knowledge.

10.1016/j.jnt.2013.11.007 http://scihub22266oqcxt.onion/10.1016/j.jnt.2013.11.007 C4750901!4750901!26949270     free     free     free Warning: file_get_contents(https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pubmed&id=26949270&cmd=llinks): Failed to open stream: HTTP request failed! HTTP/1.1 429 Too Many Requests in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 215 Deprecated: Implicit conversion from float 211.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 211.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 211.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 211.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534       J+Number+Theory 2014 ; 137 (ä): 241-55 Nephropedia Template TP {{tp|p=26949270|t=2014. Integral-valued polynomials over sets of algebraic integers of bounded degree? |pdf=|usr=}}{{26949270}} gab.com Text Integral-valued polynomials over sets of algebraic integers of bounded degree JO: J Number Theory http://www.kidney.de/pget.php?&tw=1&pmid=26949270 #FOAvip Let K be a number field of degree n with ring of integers OK. By means of a criterion of Gilmer for polynomially dense subsets of the ring of integers of a number field, we show that, if h?K[X] maps every element of OK of degree n to an algebraic integer, then h(X) is integral-valued over OK, that is, h(OK)?OK. A similar property holds if we consider the set of all algebraic integers of degree n and a polynomial f?Q[X]: if f(?) is integral over Z for every algebraic integer ? of degree n, then f(?) is integral over Z for every algebraic integer ? of degree smaller than n. This second result is established by proving that the integral closure of the ring of polynomials in Q[X] which are integer-valued over the set of matrices Mn(Z) is equal to the ring of integral-valued polynomials over the set of algebraic integers of degree equal to n. Twit Text FOAVip Integral-valued polynomials over sets of algebraic integers of bounded degree ????J Number Theory http://www.kidney.de/pget.php?&tw=1&pmid=26949270 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=26949270 #FOAvip English Wikipedia <ref>{{Cite pmid|26949270}}</ref> Integral-valued polynomials over sets of algebraic integers of bounded degree? #MMPMID26949270 Peruginelli G J Number Theory 2014[Apr]; 137 (ä): 241-55 PMID26949270show ga Let K be a number field of degree n with ring of integers OK. By means of a criterion of Gilmer for polynomially dense subsets of the ring of integers of a number field, we show that, if h?K[X] maps every element of OK of degree n to an algebraic integer, then h(X) is integral-valued over OK, that is, h(OK)?OK. A similar property holds if we consider the set of all algebraic integers of degree n and a polynomial f?Q[X]: if f(?) is integral over Z for every algebraic integer ? of degree n, then f(?) is integral over Z for every algebraic integer ? of degree smaller than n. This second result is established by proving that the integral closure of the ring of polynomials in Q[X] which are integer-valued over the set of matrices Mn(Z) is equal to the ring of integral-valued polynomials over the set of algebraic integers of degree equal to n. äIntegral-valued polynomials over sets of algebraic integers of bounded(epmc).pdf DeepDyve Pubget Overpricing