4 papers
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…
Universal lifts of chain complexes over non-commutative parameter algebras
Yuji Yoshino
We define the notion of universal lift of a projective complex based on non-commutative parameter algebras, and prove its existence and uniqueness. We investigate the properties of…
On Ext-indices of ring extensions
Saeed Nasseh, Yuji Yoshino
In this paper we are concerned with the finiteness property of Ext-indices of several ring extensions. In this direction, we introduce some conjectures and discuss the relationship…
Local cohomology based on a nonclosed support defined by a pair of ideals
Ryo Takahashi, Yuji Yoshino, Takeshi Yoshizawa
We introduce an idea for generalization of a local cohomology module, which we call a local cohomology module with respect to a pair of ideals (I,J), and study their various proper…