Study of skew inverse Laurent series rings
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DOI: 10.1142/s0219498817502218
Abstract: 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 automorphism α and… read more here.
Keywords: series rings; study skew; laurent series; series ... See more keywords
Goldie twisted partial skew power series rings
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DOI: 10.1142/s0219498819501512
Abstract: In this paper, we work with a unital twisted partial action of [Formula: see text] on a unital ring [Formula: see text]. We introduce the twisted partial skew power series rings and twisted partial skew… read more here.
Keywords: series rings; skew power; twisted partial; partial skew ... See more keywords
McCoy property of Hurwitz series rings
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DOI: 10.1142/s1793557121501059
Abstract: Based on a theorem of McCoy on commutative rings, Nielsen called a ring R right McCoy if for any nonzero polynomials f(x),g(x) over R, f(x)g(x) = 0 implies f(x)r = 0 for some 0≠r ∈… read more here.
Keywords: series rings; hurwitz series; mccoy property; property hurwitz ... See more keywords
Some Results on Skew Generalized Power Series Rings
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DOI: 10.11650/tjm.21.2017.7327
Abstract: Let $R$ be a ring, $(S,\leq)$ a strictly ordered monoid and $\omega \colon S \to \operatorname{End}(R)$ a monoid homomorphism. The skew generalized power series ring $R[[S,\omega]]$ is a common generalization of (skew) polynomial rings, (skew)… read more here.
Keywords: generalized power; series rings; power series; series ... See more keywords