Add to ORKGA ring A is called a P1-ring if aAa = aA for all a 2 A. The author's main results are the following theorems. Theorem 6: For an arbitrary ring A with no nonzero nilpotent ideals the following two conditions are equivalent: (i) A is a P1 ring, (ii) A is strongly regular (i.e., a 2 a2A for any a 2 A). Theorem 8: Any P1-ring A is a subdirect sum of zero rings of additive rank one and of division rings. Z. Pap
This dissertation focuses on the significance of containment relations between the above mentioned c...
Cataloged from PDF version of article.An element of a ring R is strongly P -clean provided that ...
Abstract. A sufficient condition is given for a ring to be either strongly regular or left self-inje...
A prime ideal p is said to be strongly prime if whenever p contains an intersection of ideals, p con...
A prime ideal p is said to be strongly prime if whenever p contains an intersection of ideals, p con...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
Abstract. Some properties of a ring R in which l(a) is a GW-ideal of R for every a ∈ R are given. Fu...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
Recall that a ring R is said to be regular in the sense of yon Neumann if for every a ε R, there is ...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
A commutative ring R with identity is called a strongly 0-dimensional ring if whenever a prime ideal...
AbstractOur study in this note is concentrated on extending the class of strongly π-regular rings, o...
Abstract. In this paper, we extend the concept of strong extensions of domains to the context of (co...
AbstractSimple (von Neumann) regular rings (with 1) are discussed, from the point of view of rank an...
This dissertation focuses on the significance of containment relations between the above mentioned c...
Cataloged from PDF version of article.An element of a ring R is strongly P -clean provided that ...
Abstract. A sufficient condition is given for a ring to be either strongly regular or left self-inje...
A prime ideal p is said to be strongly prime if whenever p contains an intersection of ideals, p con...
A prime ideal p is said to be strongly prime if whenever p contains an intersection of ideals, p con...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
Abstract. Some properties of a ring R in which l(a) is a GW-ideal of R for every a ∈ R are given. Fu...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
In 1999 Nicholson introduced the definition that an element of a ring is called strongly clean if it...
Recall that a ring R is said to be regular in the sense of yon Neumann if for every a ε R, there is ...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
A commutative ring R with identity is called a strongly 0-dimensional ring if whenever a prime ideal...
AbstractOur study in this note is concentrated on extending the class of strongly π-regular rings, o...
Abstract. In this paper, we extend the concept of strong extensions of domains to the context of (co...
AbstractSimple (von Neumann) regular rings (with 1) are discussed, from the point of view of rank an...
This dissertation focuses on the significance of containment relations between the above mentioned c...
Cataloged from PDF version of article.An element of a ring R is strongly P -clean provided that ...
Abstract. A sufficient condition is given for a ring to be either strongly regular or left self-inje...