In this paper, we examine the question of regularity of sums of special elements that appear in the study of orthogonality and invertibility.FEDER Funds through "Programa Operacional Factores de Competitividade - COMPETE'' and by Portuguese Funds through FCT - "Fundação para a Ciência e a Tecnologia'', within the project PEst-C/MAT/UI0013/201
AbstractCharacterizations are given for elements in an arbitrary ring with involution, having a grou...
In this paper, double commutativity and the reverse order law for the core inverse are considered._...
AbstractA class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equival...
In this paper, we will use outer inverses and the Brown-McCoy shift to characterize the existence of...
It is shown that if all powers of a ring element $a$ are regular, then $a$ will be strongly-pi-regul...
In this paper, we characterize the existence and give an expression of the group inverse of a produc...
We shall use the minus partial order combined with Pierce’s decomposition to derive the class of out...
Documento submetido para revisão pelos pares. A publicar em "Bulletin of the Australian Mathematical...
Let R be an associative ring with unity 1 and let a, d is an element of R. An element a is an elemen...
We prove that special clean decompositions of a given element of a ring are in one-to-one correspond...
A class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equivalent to...
The concept of the inverse along an element was introduced by Mary in 2011. Later, Zhu et al. introd...
In this paper, we introduce a new notion in a semigroup $S$ as an extension of Mary's inverse. Let $...
In this paper, we study the recently defined notion of the inverse along an element. An existence cr...
In this paper, we investigate the recently defined notion of inverse along an element in the context...
AbstractCharacterizations are given for elements in an arbitrary ring with involution, having a grou...
In this paper, double commutativity and the reverse order law for the core inverse are considered._...
AbstractA class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equival...
In this paper, we will use outer inverses and the Brown-McCoy shift to characterize the existence of...
It is shown that if all powers of a ring element $a$ are regular, then $a$ will be strongly-pi-regul...
In this paper, we characterize the existence and give an expression of the group inverse of a produc...
We shall use the minus partial order combined with Pierce’s decomposition to derive the class of out...
Documento submetido para revisão pelos pares. A publicar em "Bulletin of the Australian Mathematical...
Let R be an associative ring with unity 1 and let a, d is an element of R. An element a is an elemen...
We prove that special clean decompositions of a given element of a ring are in one-to-one correspond...
A class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equivalent to...
The concept of the inverse along an element was introduced by Mary in 2011. Later, Zhu et al. introd...
In this paper, we introduce a new notion in a semigroup $S$ as an extension of Mary's inverse. Let $...
In this paper, we study the recently defined notion of the inverse along an element. An existence cr...
In this paper, we investigate the recently defined notion of inverse along an element in the context...
AbstractCharacterizations are given for elements in an arbitrary ring with involution, having a grou...
In this paper, double commutativity and the reverse order law for the core inverse are considered._...
AbstractA class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equival...
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