[PDF][PDF] Generalized regular rings
NH McCoy - 1939 - projecteuclid.org
… A ring 9î with unit element, every element of which is regular, is a regular ring>\ In the
present note we introduce rings somewhat more general than the regular rings and prove a few …
present note we introduce rings somewhat more general than the regular rings and prove a few …
Generalized stable regular rings
H Chen - Communications in Algebra, 2003 - Taylor & Francis
… In this paper we show that a regular ring R is a generalized stable ring if and only if for every
x … Also we show that if R is a generalized stable regular ring, then for any A ∈ M n (R), there …
x … Also we show that if R is a generalized stable regular ring, then for any A ∈ M n (R), there …
[引用][C] On generalized regular rings
L Fuchs, KM Rangaswamy - Mathematische Zeitschrift, 1968 - Springer
… rings which are generalized regular extends some results in [-81 on regular endomorphism
rings… groups G whose endomorphism rings E(G) are generalized regular rings, we can show …
rings… groups G whose endomorphism rings E(G) are generalized regular rings, we can show …
[PDF][PDF] Generalized -rings and von Neumann regular rings
G Baccella - Rendiconti del Seminario Matematico della Università …, 1984 - numdam.org
… We prove that R is a regular right S1-ring iff R … we consider the class of regular rings which
are strongly regular modulo their socle; we call them ASR rings. R. Yue Chi Ming considered …
are strongly regular modulo their socle; we call them ASR rings. R. Yue Chi Ming considered …
Generalized V-rings
VS Ramamurthi, KM Rangaswamy - Mathematica Scandinavica, 1972 - JSTOR
… V-rings and also the generalized right V-rings which are written for short as GV-rings. These
… B, J(B) = 0 and furthermore every homo morphic image of a regular ring is regular, we have …
… B, J(B) = 0 and furthermore every homo morphic image of a regular ring is regular, we have …
On von Neumann regular rings of skew generalized power series
R Mazurek, M Ziembowski - Communications in Algebra®, 2008 - Taylor & Francis
… It is easy to verify that with the pointwise addition and the multiplication A becomes a ring
which we will call the ring of skew generalized power series with coefficients in R and …
which we will call the ring of skew generalized power series with coefficients in R and …
[HTML][HTML] Generalized weakly symmetric rings
J Wei - Journal of Pure and Applied Algebra, 2014 - Elsevier
… ring if and only if R is a clean ring. Finally, we show that GWS … rings have stable range 1 and
a GWS semiperiodic ring R with … rings are a proper generalization of central symmetric rings. …
a GWS semiperiodic ring R with … rings are a proper generalization of central symmetric rings. …
On generalized stable rings
H Chen - Communications in Algebra, 2000 - Taylor & Francis
… the class of generalized stable rings and investigate equivalent characterizations of such rings.
We show … Also we show that every generalized stable ring is a GE-ring and matrices over …
We show … Also we show that every generalized stable ring is a GE-ring and matrices over …
Generalized radical rings
WE Clark - Canadian Journal of Mathematics, 1968 - cambridge.org
… rings might equally appropriately be called generalized strongly regular rings, since every
strongly regular ring … After proving that any strongly regular ring is a generalized radical ring, …
strongly regular ring … After proving that any strongly regular ring is a generalized radical ring, …
Generalized symmetric rings
G Kafkas, B Ungor, S Halicioglu… - Algebra and Discrete …, 2018 - admjournal.luguniv.edu.ua
… rings to be symmetric. We prove that some results of symmetric rings can be extended to central
symmetric rings … central reduced ring is central symmetric, every central symmetric ring is …
symmetric rings … central reduced ring is central symmetric, every central symmetric ring is …