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2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R <X> is expressible as a directed union
of Artinian subrings.
@article{Karim2004, abstract = {2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R <X> is expressible as a directed union
of Artinian subrings.}, author = {Karim, D.}, journal = {Serdica Mathematical Journal}, keywords = {Zero–Dimensional Ring; Semi–Quasilocal Ring; Nagata Ring; von Neumann Regular Ring; Directed Union of Artinian Subrings; Serre Ring; zero-dimensional ring; von Neumann regular ring; directed union of Artinian subrings; Serre ring}, language = {eng}, number = {1}, pages = {87-94}, publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences}, title = {Zero-Dimensionality and Serre Rings}, url = {http://eudml.org/doc/219564}, volume = {30}, year = {2004}, }
TY - JOUR AU - Karim, D. TI - Zero-Dimensionality and Serre Rings JO - Serdica Mathematical Journal PY - 2004 PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences VL - 30 IS - 1 SP - 87 EP - 94 AB - 2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R <X> is expressible as a directed union
of Artinian subrings. LA - eng KW - Zero–Dimensional Ring; Semi–Quasilocal Ring; Nagata Ring; von Neumann Regular Ring; Directed Union of Artinian Subrings; Serre Ring; zero-dimensional ring; von Neumann regular ring; directed union of Artinian subrings; Serre ring UR - http://eudml.org/doc/219564 ER -