Now showing items 1-4 of 4
Generalized Semicommutative Rings And Their Extensions
(Korean Mathematical Soc, 2008)
For an endomorphism a of a ring R., the endomorphism a is called semicommutative if ab = 0 implies a Ha(b) = 0 for a is an element of R. A ring R is called alpha-semicommulative if there exists a semicommutative endomorphism ...
Quasipolar Subrings of 3 X 3 Matrix Rings
An element a of a ring R is called quasipolar provided that there exists an idempotent p is an element of R such that p is an element of comm(2)(a), a + p is an element of U(R) and ap is an element of R-qnil. A ring R is ...
Reduced and P.Q.-Baer Modules
(Mathematical Soc Rep China, 2007)
In this paper, we study p.q.-Baer modules and some polynomial extensions of p.q.-Baer modules. In particular, we show: (1) For a reduced module M-R,M-R is ap.p.-moduleiff M-R is a p.q.-Baer module. (2) If M-R is an ...
A Generalization Of Rickart Modules
(Belgian Mathematical Soc Triomphe, 2014)
Let R be an arbitrary ring with identity and M a right R-module with S = End(R) (M). In this paper we introduce pi-Rickart modules as a generalization of Rickart modules. pi-Rickart modules are also a dual notion of dual ...