论文标题

an灭$(b,c)$的特征 - 在任意戒指中倒置

Characterizations of annihilator $(b,c)$-inverses in arbitrary rings

论文作者

Zhang, Chong-Quan, Wang, Qing-Wen, Zhu, Huihui

论文摘要

在本文中,我们调查了an灭$(b,c)$的一些属性,以任意戒指倒置。我们证明,与单方面$(b,c)$倒置相比,任意环中元素的单方面歼灭器$(b,c)$ - 可能的行为可能有所不同。此外,我们讨论了交织的财产,吸收法,反订单法和Cline的an灭者$(b,c)$倒置的公式。作为应用程序,我们将一些已知结果改进并扩展到$(b,c)$ - 倒置。特别是,我们以$(b,c)$的相互交织属性的相同条件 - 倒在半群中。

In this paper, we investigate some properties of annihilator $(b,c)$-inverses in an arbitrary ring. We demonstrate that one-sided annihilator $(b,c)$-inverses of elements in arbitrary rings may behave differently in contrast to one-sided $(b,c)$-inverses. Also, we discuss intertwining property, absorption law, reverse order law, and Cline's formula for annihilator $(b,c)$-inverses. As applications, we improve and extend some known results to $(b,c)$-inverses. In particular, we derive an equivalent condition of intertwining property for $(b,c)$-inverses in semigroups.

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