Lattice of ℤ-module
Futa, Yuichi, Shidama, Yasunari
Operations of Points on Elliptic Curve in Affine Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Set of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Free ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Isometric Differentiable Functions on Real Normed Space
Futa, Yuichi, Endou, Noboru, Shidama, Yasunari
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Integral Linear Space
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Operations of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Quotient Module of Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Isomorphism Theorem on Vector Spaces over a Ring
Futa, Yuichi, Shidama, Yasunari
Inverse Function Theorem. Part I1
Nakasho, Kazuhisa, Futa, Yuichi
Matrix of ℤ-module1
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari