[图书][B] Algebra II Ring Theory: Vol. 2: Ring Theory
C Faith - 2012 - books.google.com
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 …
preface Jacobson asserts that the theory that forms the subject of the book had its beginning …
Annihilator ideals, associated primes and Kasch-McCoy commutative rings
F Carl - Communications in Algebra, 1991 - Taylor & Francis
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 …
polynomial ring R [X].(In fact X can be any set of variables.). An annulet I of R [X] of this form …
Rings with zero intersection property on annihilators: zip rings
C Faith - Publicacions Matematiques, 1989 - JSTOR
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 …
properties below, which are equivalent:(ZIP 1) If the right annihilator X⊥ of a subset X of R is …
[图书][B] Injective modules and injective quotient rings
C Faith - 2019 - books.google.com
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) …
Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E, R) …
Skew Poincaré–Birkhoff–Witt extensions over weak zip rings
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 …
these extensions generalize Ore extensions of injective type and another noncommutative …
The McCoy Condition on Skew Poincaré–Birkhoff–Witt Extensions
A Reyes, C Rodríguez - Communications in Mathematics and Statistics, 2021 - Springer
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 …
polynomial type known as skew Poincaré–Birkhoff–Witt extensions. As a consequence, we …
[HTML][HTML] Extensions of zip rings
CY Hong, NK Kim, TK Kwak, Y Lee - Journal of Pure and Applied Algebra, 2005 - Elsevier
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 …
zero, rR (Y)= 0 for a finite subset Y⊆ X. Faith [5] raised the following questions: When does …
Zip rings and Mal'cev domains
C Ferran - Communications in Algebra, 1991 - Taylor & Francis
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 …
1983-1991 (1991) ZIP RINGS AND MAL'CEV DOMAINS Ferran Ced6 Departament de …
The McCoy condition on Ore extensions
Nielsen proved that all reversible rings are McCoy and gave an example of a
semicommutative ring that is not right McCoy. When R is a reversible ring with an (α, δ) …
semicommutative ring that is not right McCoy. When R is a reversible ring with an (α, δ) …
Study of skew inverse Laurent series rings
K Paykan, A Moussavi - Journal of Algebra and Its Applications, 2017 - World Scientific
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 …
and skew inverse power series ring R [[x− 1; α, δ]], where R is a ring equipped with an …