Study of skew inverse Laurent series rings

K Paykan, A Moussavi - Journal of Algebra and Its Applications, 2017 - World Scientific
In the present note, we continue the study of skew inverse Laurent series ring R ((x− 1; α, δ))
and skew inverse power series ring R [[x− 1; α, δ]], where R is a ring equipped with an …

When nilpotents are contained in Jacobson radicals

CI Lee, SY Park - Journal of the Korean Mathematical Society, 2018 - koreascience.kr
We focus our attention on a ring property that nilpotents are contained in the Jacobson
radical. This property is satisfied by NI and left (right) quasi-duo rings. A ring is said to be NJ …

Special properties of differential inverse power series rings

K Paykan, A Moussavi - Journal of Algebra and Its Applications, 2016 - World Scientific
In this paper, we continue to study the differential inverse power series ring R [[x− 1; δ]],
where R is a ring equipped with a derivation δ. We characterize when R [[x− 1; δ]] is a local …

Skew inverse power series rings over a ring with projective socle

K Paykan - Czechoslovak Mathematical Journal, 2017 - Springer
A ring R is called a right PS-ring if its socle, Soc (RR), is projective. Nicholson and Watters
have shown that if R is a right PS-ring, then so are the polynomial ring R [x] and power …

A study on skew Hurwitz series rings

K Paykan - Ricerche di Matematica, 2017 - Springer
In this paper, we continue the study of skew Hurwitz series ring (HR, α)(HR, α), where R is a
ring equipped with an endomorphism α α. Necessary and sufficient conditions are obtained …

On skew triangular matrix rings

AR Nasr-Isfahani - Communications in Algebra, 2011 - Taylor & Francis
For a ring R, endomorphism α of R and positive integer n we define a skew triangular matrix
ring T n (R, α). By using an ideal theory of a skew triangular matrix ring T n (R, α) we can …

Some results on skew generalized power series rings

K Paykan, A Moussavi - 2017 - projecteuclid.org
Let R be a ring, (S,≦) a strictly ordered monoid and ω:S→End(R) a monoid homomorphism.
The skew generalized power series ring RS,ω is a common generalization of (skew) …

On subdirect products of division rings

PH Lee - Communications in Algebra, 2023 - Taylor & Francis
Full article: On subdirect products of division rings Skip to Main Content Taylor and Francis
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Some new results on skew triangular matrix rings with constant diagonal

K Paykan - Vietnam Journal of Mathematics, 2017 - Springer
This paper concerns mainly on various ring properties of some subrings of a skew triangular
matrix ring. Necessary and sufficient conditions are obtained for a skew triangular matrix ring …

A description of quasi-duo ℤ-graded rings

A Leroy, J Matczuk, ER Puczyłowski - Communications in Algebra®, 2010 - Taylor & Francis
Full article: A Description of Quasi-Duo ℤ-Graded Rings Skip to Main Content Taylor and
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