caa a22 4500 445378816 CHVBK 20180317143011.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10485-009-9203-6 doi (NATIONALLICENCE)springer-10.1007/s10485-009-9203-6 Dăuş Leonard Department of Mathematics, Technical University of Civil Engineering, Bdul. Lacul Tei 124, 020396, Bucharest 2, Romania aut Relative Regular Modules. Applications to von Neumann Regular Rings [Elektronische Daten] [Leonard Dăuş] We use the concept of a regular object with respect to another object in an arbitrary category, in order to obtain the transfer of regularity in the sense of Zelmanowitz between the categories R −mod and S −mod, when S is an excellent extension of the ring R. Consequently, if S is an excellent extension of the ring R, then S is von Neumann regular ring if and only if R is also von Neumann regular ring. In the second part, using relative regular modules, we give a new proof of a classical result: the von Neumann regular property of a ring is Morita invariant. Springer Science+Business Media B.V., 2009 Regular module nationallicence Excellent extension nationallicence Morita equivalent nationallicence Applied Categorical Structures Springer Netherlands 19/6(2011-12-01), 859-863 0927-2852 19:6<859 2011 19 10485 https://doi.org/10.1007/s10485-009-9203-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-009-9203-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Dăuş Leonard Department of Mathematics, Technical University of Civil Engineering, Bdul. Lacul Tei 124, 020396, Bucharest 2, Romania aut NATIONALLICENCE 773 0- Applied Categorical Structures Springer Netherlands 19/6(2011-12-01), 859-863 0927-2852 19:6<859 2011 19 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer