A note on extensions of Baer and PP-rings
EP Armendariz - Journal of the Australian Mathematical Society, 1974 - cambridge.org
Baer rings are rings in which the left (right) annihilator of each subset is generated by an
idempotent [6]. Closely related to Baer rings are left PP-rings; these are rings in which each …
idempotent [6]. Closely related to Baer rings are left PP-rings; these are rings in which each …
A note on extensions of Baer and PP-rings
EP Armendariz - Journal of the Australian Mathematical Society, 1974 - cir.nii.ac.jp
抄録< jats: p> Baer rings are rings in which the left (right) annihilator of each subset is
generated by an idempotent [6]. Closely related to Baer rings are left PP-rings; these are …
generated by an idempotent [6]. Closely related to Baer rings are left PP-rings; these are …
[PDF][PDF] A note on extensions of Baer and PP-rings
EP Armendariz - 1974 - repositories.lib.utexas.edu
PROOF. If R [X~\is a PP-ring and ae R then annR (a)= R n annRm (a)= R OR [X] e with e2=
e. By Corollary 1, eei? and thus R n£[X] e=/? e. Now assume R is a PP-ring. First note that if …
e. By Corollary 1, eei? and thus R n£[X] e=/? e. Now assume R is a PP-ring. First note that if …
[引用][C] A note on extensions of Baer and pp-rings
EP ARMENDARIZ - J. Austral. Math. Soc., 1974 - cir.nii.ac.jp
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