Articles with "ring involution" as a keyword



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On a weighted core inverse in a ring with involution

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Published in 2018 at "Communications in Algebra"

DOI: 10.1080/00927872.2017.1378895

Abstract: ABSTRACT We define and investigate the e-core inverse and f-dual core inverse in a ring with involution as extensions of the core and dual core inverse, respectively. Using these definitions, we present and characterize the… read more here.

Keywords: inverse ring; dual core; ring involution; core inverse ... See more keywords
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The zero-divisor graph of a ring with involution

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Published in 2017 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498818500500

Abstract: For a *-ring A, we associate a simple undirected graph Γ*(A) having all nonzero left zero-divisors of A as vertices and, two vertices x and y are adjacent if xy* = 0. In case of… read more here.

Keywords: divisor graph; zero divisor; graph ring; ring involution ... See more keywords