The term The Theory of Rings seems first used as title of a book by Jacobson [43], and in his
preface Jacobson asserts that the theory that forms the subject of the book had its beginning …

If R is a ring, and A right annulet (= annihilator right ideal) then A [X] is a right annulet of the
polynomial ring R [X].(In fact X can be any set of variables.). An annulet I of R [X] of this form …

Zelmanowitz 12 introduced the concept of ring, which we call right zip rings, with the defining
properties below, which are equivalent:(ZIP 1) If the right annihilator X⊥ of a subset X of R is …

First published in 1982. These lectures are in two parts. Part I, entitled injective Modules
Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E, R) …

In this paper we study skew Poincaré–Birkhoff–Witt extensions over weak zip rings. Since
these extensions generalize Ore extensions of injective type and another noncommutative …

In this paper, we study the notion of McCoy ring over the class of non-commutative rings of
polynomial type known as skew Poincaré–Birkhoff–Witt extensions. As a consequence, we …

A ring R is called right zip provided that if the right annihilator rR (X) of a subset X of R is
zero, rR (Y)= 0 for a finite subset Y⊆ X. Faith [5] raised the following questions: When does …

Zip rings and mal'cev domains Page 1 COMMUNICATIONS IN ALGEBRA, 19(7),
1983-1991 (1991) ZIP RINGS AND MAL'CEV DOMAINS Ferran Ced6 Departament de …

In the present note, we continue the study of skew inverse Laurent series ring R ((x− 1; α, δ))
and skew inverse power series ring R [[x− 1; α, δ]], where R is a ring equipped with an …

In 5 2 several results on strongly prime rings are extended to quasi-projective strongly prime
modules. In 3 3 not necessarily associative rings are considered as modules over their …