论文标题
加权（B，C）逆的特征
Characterizations of weighted (b,c) inverse
论文作者
论文摘要
最近引入了加权$（b，c）$的概念 - 最近引入了一个元素，最近[comm。代数，48（4）（2020）：1423-1438]。在本文中，我们通过建立对这种逆的一些特征及其与其他$（v，w）$ - 加权$（b，c）$ inverses的关系进一步详细阐述了这一理论。我们为存在混合$（v，w）$ - 加权$（b，c）$（b，c）$（v，w）$（v，w）$（v，w）$ - 加权$（b，c）$ - 与环中的元素成反比的混合$（v，c）$（b，c）$（b，c）$（v，v，w）$（v，w）$（v，w）$（v，w）$（v，v，w）$ - 介绍了一些必要的条件。除此之外，我们还探索了一些足够的条件，以实现an灭$（v，w）$ - 加权$（b，c）$ - 倒置的反向订单法律。
The notion of weighted $(b,c)$-inverse of an element in rings were introduced, very recently [Comm. Algebra, 48 (4) (2020): 1423-1438]. In this paper, we further elaborate on this theory by establishing a few characterizations of this inverse and their relationships with other $(v, w)$-weighted $(b,c)$-inverses. We introduce some necessary and sufficient conditions for the existence of the hybrid $(v, w)$-weighted $(b,c)$-inverse and annihilator $(v, w)$-weighted $(b,c)$-inverse of elements in rings. In addition to this, we explore a few sufficient conditions for the reverse-order law of the annihilator $(v, w)$-weighted $(b,c)$-inverses.
