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Some new results on the core partial order
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2020-11-03 , DOI: 10.1080/03081087.2020.1841078
D. E. Ferreyra 1 , Saroj B. Malik 2
Affiliation  

ABSTRACT

The current research investigates the core partial order for its further properties. We introduce a new property for matrices of index at most 1, namely (BA)#=B#A# and is called as ‘the core-subtractivity’. This property then is used to explore relations between the powers and subtractivity properties of the core partial order. In particular, we prove that A#B is equivalent to (BA)#B under the core-subtractivity property. We also examine some new conditions under which the core partial order is equivalent to the minus and diamond partial orders.



中文翻译:

核心偏序的一些新结果

摘要

目前的研究调查了核心偏序的进一步属性。我们为索引至多为 1 的矩阵引入一个新的性质,即(一个)#=#一个#并被称为“核心减法”。然后,此属性用于探索核心偏序的幂和减法属性之间的关系。特别地,我们证明一个#相当于(一个)#在 core-subtractivity 属性下。我们还研究了一些新的条件,在这些条件下,核心偏序等价于减号和菱形偏序。

更新日期:2020-11-03
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