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math.AC2008
Groebner bases for the polynomial ring with infinite variables and their applications
Kei-ichiro Iima, Yuji Yoshino
We develop the theory of Gröbner bases for ideals in a polynomial ring with countably infinite variables over a field. As an application we reconstruct some of the one-one correspo…
math.AC2006
On the Jordan decomposition of tensored matrices of Jordan canonical forms
Kei-ichiro Iima, Ryo Iwamatsu
Let k be an algebraically closed field of characteristic p \ge 0. We shall consider the problem of finding out a Jordan canonical form of J(α,s) \otimes_{k} J(β,t), where J(α,s) me…