summary:We show that any semiartinian $*$-regular ring $R$ is unit-regular; if, in addition, $R$ is subdirectly irreducible then it admits a representation within some inner product space
It is known that a regular ring has stable range one if and only if it is unit regular. The purpose ...
A ring R is called regular if for each a € R, there exists an element x € R such that axa = a. R...
A ring R is called semiregular if R/J is regular and idempotents lift modulo J, where J denotes the ...
summary:We show that any semiartinian $*$-regular ring $R$ is unit-regular; if, in addition, $R$ is ...
In this thesis a proof is given that simple modular ortholattices possessing a chain with at least f...
AbstractThis paper characterizes products of idempotents in (von Neumann) regular rings which are un...
Recall that a ring R is said to be regular in the sense of yon Neumann if for every a ε R, there is ...
We establish that a ring is uniquely π-regular if, and only if, it is a division ring. This somewhat...
We show that a subdirectly irreducible ∗-regular ring admits a representation within some inner prod...
AbstractSemiartinian right V-rings, which we call right SV-rings, form a special class of Von Neuman...
During his study of continuous geometries, J. von Neumann found that any complemented modular lattic...
We introduce a symmetry property for unit-regular rings as follows: $a\in R$ is unit-regular if and ...
We define the rank of elements of general unital rings, discuss its properties and give several exam...
AbstractSimple (von Neumann) regular rings (with 1) are discussed, from the point of view of rank an...
This is a preprint of an article published in the Proceedings of the American Mathematical Society 1...
It is known that a regular ring has stable range one if and only if it is unit regular. The purpose ...
A ring R is called regular if for each a € R, there exists an element x € R such that axa = a. R...
A ring R is called semiregular if R/J is regular and idempotents lift modulo J, where J denotes the ...
summary:We show that any semiartinian $*$-regular ring $R$ is unit-regular; if, in addition, $R$ is ...
In this thesis a proof is given that simple modular ortholattices possessing a chain with at least f...
AbstractThis paper characterizes products of idempotents in (von Neumann) regular rings which are un...
Recall that a ring R is said to be regular in the sense of yon Neumann if for every a ε R, there is ...
We establish that a ring is uniquely π-regular if, and only if, it is a division ring. This somewhat...
We show that a subdirectly irreducible ∗-regular ring admits a representation within some inner prod...
AbstractSemiartinian right V-rings, which we call right SV-rings, form a special class of Von Neuman...
During his study of continuous geometries, J. von Neumann found that any complemented modular lattic...
We introduce a symmetry property for unit-regular rings as follows: $a\in R$ is unit-regular if and ...
We define the rank of elements of general unital rings, discuss its properties and give several exam...
AbstractSimple (von Neumann) regular rings (with 1) are discussed, from the point of view of rank an...
This is a preprint of an article published in the Proceedings of the American Mathematical Society 1...
It is known that a regular ring has stable range one if and only if it is unit regular. The purpose ...
A ring R is called regular if for each a € R, there exists an element x € R such that axa = a. R...
A ring R is called semiregular if R/J is regular and idempotents lift modulo J, where J denotes the ...
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