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 …

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 …

In the present note, we continue to study zero-divisor properties of general skew inverse
Laurent series rings R ((x− 1; σ, δ)), where R is an associative ring equipped with an …

One of the important properties of commutative rings, proved by McCoy [Remarks on
divisors of zero, Amer. Math. Monthly 49 (5)(1942) 286–295], is that if two nonzero …

This paper continues the ongoing effort to study the structure of the set of nilpotent elements
in noncommutative ring constructions. Let R be any ring,(S, ≦)(S,≤) a strictly (partially) …

In this book, ring-theoretical properties of skew Laurent series rings A ((x; φ)) over a ring A,
where A is an associative ring with non-zero identity element are described. In addition, we …

In this paper, we study the Jacobson radical of the skew inverse Laurent series ring R ((x− 1;
α, δ)), where R is an associative unitary ring, equipped with an automorphism α and an α …

Ever since the introduction, skew inverse Laurent series rings have kept growing in
importance, as researchers characterized their properties (such as Noetherianness …

斜逆Laurent级数环的弱Armendariz性质 Page 1 第58卷第4期 吉林大学学报(理学版) Vol.58 No.4
2020年7月 JournalofJilinUniversity(ScienceEdition) July 2020 doi:10.13413/j.cnki.jdxblxb.2019367 …

In the book, we study properties of skew Laurent series rings A ((x, φ)) over a ring A, where A
is an associative (not necessarily commutative) ring with non-zero identity element; A is …