Results 161 to 169 of about 59,526 (169)
Some of the next articles are maybe not open access.
Mathematical Notes, 1995
It is proved that a right distributive semiprime PI ringA is a left distributive ring and for each elementx ∈A there is a positive integern such thatx n A=Ax n . We describe both right distributive right Noetherian rings algebraic over the center of the ring and right distributive ...
openaire +2 more sources
It is proved that a right distributive semiprime PI ringA is a left distributive ring and for each elementx ∈A there is a positive integern such thatx n A=Ax n . We describe both right distributive right Noetherian rings algebraic over the center of the ring and right distributive ...
openaire +2 more sources
On Prime and Semiprime Rings with Derivations
Algebra Colloquium, 2006Let R be a ring and S a nonempty subset of R. A mapping f: R → R is called commuting on S if [f(x),x] = 0 for all x ∈ S. In this paper, firstly, we generalize the well-known result of Posner related to commuting derivations on prime rings. Secondly, we show that if R is a semiprime ring and I is a nonzero ideal of R, then a derivation d of R is ...
openaire +3 more sources
On centralizers of semiprime rings with involution
Studia Scientiarum Mathematicarum Hungarica, 2006LetRbe a 2-torsion free semiprime *-ring and letT:R?Rbe an additive mapping such thatT(xx*)=T(x)x* is fulfilled for allx?R. In this caseT(xy)=T(x)yholds for all pairsx,y?R.
Joso Vukman, Irena Kosi-Ulbl
openaire +2 more sources
HIGHER DERIVATIONS OF SEMIPRIME RINGS
Communications in Algebra, 2002ABSTRACT In this paper we study higher derivations of prime and semiprime rings satisfying linear relations. We extend several results known for algebraic derivations, and we prove some other results.
Claus Haetinger, Miguel Ferrero
openaire +2 more sources
On Jordan Structure in Semiprime Rings
Canadian Journal of Mathematics, 1976A remarkable theorem of Herstein [1, Theorem 2] of which we have made several uses states: If R is a semiprime ring of characteristic different from 2 and if U is both a Lie ideal and a subring of R then either U ⊂ Z (the centre of R) or U contains a nonzero ideal of R. In a recent paper [3] Herstein extends the above mentioned result significantly and
openaire +2 more sources
1973
A ring S is a (classical) right quotient ring of a subring T if every regular element a ∈ T has an inverse in S and $$ S = \{ a{b^{ - 1}}|a,b \in T,b\;{\text{reular}}\} $$ Then T is an order in S (cf. 7.21). The following condition is necessary and sufficient for a ring T to possess a classical quotient ring: If a, b ∈ T, and if b is regular ...
openaire +2 more sources
A ring S is a (classical) right quotient ring of a subring T if every regular element a ∈ T has an inverse in S and $$ S = \{ a{b^{ - 1}}|a,b \in T,b\;{\text{reular}}\} $$ Then T is an order in S (cf. 7.21). The following condition is necessary and sufficient for a ring T to possess a classical quotient ring: If a, b ∈ T, and if b is regular ...
openaire +2 more sources
THE SEMIPRIMENESS OF SEMIGROUP RINGS
JP Journal of Algebra, Number Theory and Applications, 2021Yasuyuki Hirano +2 more
openaire +2 more sources
, 1990