@Article{CMR-26-2,
author = {Jian, Cui and Jianlong, Chen},
title = {Linearly McCoy Rings and Their Generalizations},
journal = {Communications in Mathematical Research },
year = {2010},
volume = {26},
number = {2},
pages = {159--175},
abstract = {<p style="text-align: justify;">A ring $R$ is called linearly McCoy if whenever linear polynomials $f(x)$, $g(x) ∈ R[x]$\{0} satisfy $f(x)g(x) = 0$, then there exist nonzero elements $r, s ∈ R$ such that $f(x)r = sg(x) = 0$. For a ring endomorphism $α$, we introduced the notion
of $α$-skew linearly McCoy rings by considering the polynomials in the skew polynomial
ring $R[x; α]$ in place of the ring $R[x]$. A number of properties of this generalization
are established and extension properties of $α$-skew linearly McCoy rings are given.</p>},
issn = {2707-8523},
doi = {https://doi.org/2010-CMR-19169},
url = {https://global-sci.com/article/81903/linearly-mccoy-rings-and-their-generalizations}
}