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2024 | OriginalPaper | Chapter

On Weakly Generalized Reversible Rings

Authors : Nirbhay Kumar, Avanish Kumar Chaturvedi

Published in: Advances in Ring Theory and Applications

Publisher: Springer Nature Switzerland

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Abstract

We introduce a notion of weakly generalized reversible rings as a proper generalization of generalized reversible rings. In support, we give examples. We show that every central reversible ring is an example of weakly generalized reversible ring. Also, we study some properties and characterizarions of weakly generalized reversible ring.

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previous chapter A Note on Multiplicative (Generalized)-Derivations and Left Sided Ideals in Semiprime Rings
next chapter Additivity of Multiplicative b-Generalized (Skew) Derivations
Literature
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2.
3.
Dorroh, J.L.: Concerning adjunctions to algebras. Trans. Am. Math. Soc. 26(6), 85–88 (1932)MathSciNet
4.
Kose, H., Ungor, B., Halicioglu, S., Harmanci, A.: A generalization of reversible rings. Iranian J. Sci. Tech. 38(1), 43–48 (2014)MathSciNet
5.
Lam, T.Y.: A First Course in Noncommutative rings, 2nd edn., Graduate Texts in Mathematics, vol 131. Springer, New York (2001)
6.
Roy, D., Subedi, T.: On a generalization of reversible rings. An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.) 65(2), 331–340 (2019)
Metadata
Title
On Weakly Generalized Reversible Rings
Authors
Nirbhay Kumar
Avanish Kumar Chaturvedi
Copyright Year
2024
Book
Advances in Ring Theory and Applications

Print ISBN: 978-3-031-50794-6

Electronic ISBN: 978-3-031-50795-3

Copyright Year: 2024

DOI
https://doi.org/10.1007/978-3-031-50795-3_2

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