Let R be a ring such that every zero divisor x is expressible as a sum of a nilpotent element and a potent element of R:x=a+b, where a is nilpotent, b is potent, and ab=ba. We call such a ring a D*-ring. We give the structure of periodic D*-ring, weakly periodic D*-ring, Artinian D*-ring, semiperfect D*-ring, and other classes of D*-ring
© 2019, Pleiades Publishing, Ltd. Under study are the rings whose every element is a sum of a nilpot...
Abstract. A ring R is called periodic if, for every x in R, there exist distinct positive integers m...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
A well-known theorem of Jacobson (1964, page 217) asserts that a ring R with the property that, for ...
Abstract. A well-known theorem of Jacobson (1964, page 217) asserts that a ring R with the property ...
Abstract. A well-known theorem of Jacobson (1964, page 217) asserts that a ring R with the property ...
We give the structure of certain rings which are multiplicatively generated by nilpotents or multipl...
Abstract. It is proved that a ring is periodic if and only if, for any elements x and y, there exist...
Abstract. It is proved that a ring is periodic if and only if, for any elements x and y, there exist...
Abstract. It is proved that a ring is periodic if and only if, for any elements x and y, there exist...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
197-208Under study are the rings whose every element is a sum of a nilpotent and a q-potent that com...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
We characterize several large classes of periodic rings: periodic rings with identity, finite-rank t...
It is proved that a ring is periodic if and only if, for any elements x and y, there exist positive ...
© 2019, Pleiades Publishing, Ltd. Under study are the rings whose every element is a sum of a nilpot...
Abstract. A ring R is called periodic if, for every x in R, there exist distinct positive integers m...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
A well-known theorem of Jacobson (1964, page 217) asserts that a ring R with the property that, for ...
Abstract. A well-known theorem of Jacobson (1964, page 217) asserts that a ring R with the property ...
Abstract. A well-known theorem of Jacobson (1964, page 217) asserts that a ring R with the property ...
We give the structure of certain rings which are multiplicatively generated by nilpotents or multipl...
Abstract. It is proved that a ring is periodic if and only if, for any elements x and y, there exist...
Abstract. It is proved that a ring is periodic if and only if, for any elements x and y, there exist...
Abstract. It is proved that a ring is periodic if and only if, for any elements x and y, there exist...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
197-208Under study are the rings whose every element is a sum of a nilpotent and a q-potent that com...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
We characterize several large classes of periodic rings: periodic rings with identity, finite-rank t...
It is proved that a ring is periodic if and only if, for any elements x and y, there exist positive ...
© 2019, Pleiades Publishing, Ltd. Under study are the rings whose every element is a sum of a nilpot...
Abstract. A ring R is called periodic if, for every x in R, there exist distinct positive integers m...
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson rad...
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