[引用][C] General graded rings
PJ McCarthy - Monatshefte für Mathematik, 1965 - Springer
1. Introduction. A ring R is called a graded ring ff there are subgroups R0, R~,... of the
additive group of R such that R is the (weak) direct sum of these subgroups and R~ Rj CR~+ …
additive group of R such that R is the (weak) direct sum of these subgroups and R~ Rj CR~+ …
Arithmetically graded rings revisited
CN [acaron] st [acaron] sescu… - Communications in …, 1986 - Taylor & Francis
When studying group graded rings most of the problems encountered are of one of the
following two types. The first type of problems occurs when properties of the G-graded ring …
following two types. The first type of problems occurs when properties of the G-graded ring …
[引用][C] Group rings of graded rings. Applications
C Nǎstǎsescu - Journal of pure and applied algebra, 1984 - Elsevier
One of the main problems in Graded Ring Theory is to see whether a graded module having
a certain property has a similar property when regarded without grading. This problem has …
a certain property has a similar property when regarded without grading. This problem has …
[引用][C] On the graded-Gelfand commutative rings
M Aqalmoun - Journal of Algebra and Its Applications, 2024 - World Scientific
This paper deals with the graded commutative rings in which every graded prime ideal is
contained in a unique graded-maximal ideal called graded-Gelfand ring. The purpose is to …
contained in a unique graded-maximal ideal called graded-Gelfand ring. The purpose is to …
[引用][C] Graded varieties of graded rings
AD Sands, H Yahya - Acta Mathematica Hungarica, 1995 - Springer
In [3] Gardner and Stewart have characterized a radical semisimple class as a variety
contained in the class 7), where 7) is the class of all associative rings R such that [x]=[x] 2, Vx …
contained in the class 7), where 7) is the class of all associative rings R such that [x]=[x] 2, Vx …
[图书][B] Arithmetically graded rings. I.
JP Van Deuren, F Van Dystaeyen - 1980 - Springer
O. INTRODUCTION We aim to study graded maximal orders in graded central simple
algebras over graded fields. In order to be able to carry out this project one has to consider …
algebras over graded fields. In order to be able to carry out this project one has to consider …
Basic theorems on general commutative rings
M Nagata - Memoirs of the College of Science, University of Kyoto …, 1955 - projecteuclid.org
We want to group up some basic theorems in the general theory of commutative rings in the
present note. Though most of results contained in the present note are not new, many of …
present note. Though most of results contained in the present note are not new, many of …
THE GRADED RING R [X₁,..., X n]
JL Johnson - The Rocky Mountain Journal of Mathematics, 1979 - JSTOR
0. Introduction. Let fi be a commutative ring which is Z or Z+ graded. If {XJ^ Lj are
indeterminates over fi which are assigned homogeneous degrees {dj}*-!, di EZ, then fi [X1?•• …
indeterminates over fi which are assigned homogeneous degrees {dj}*-!, di EZ, then fi [X1?•• …
The integral closure of a graded ring
BJA Huckaba, JM Keller - Communications in Algebra, 1981 - Taylor & Francis
Assume that all rings are commutative and have identity. Graded rings will always be graded
by the integers. Let R= CX i be a graded ring. Define H (R)= RS, where S is the multiplicative …
by the integers. Let R= CX i be a graded ring. Define H (R)= RS, where S is the multiplicative …
Augmented graded rings
M REFAI - Turkish Journal of Mathematics, 1997 - journals.tubitak.gov.tr
In this paper we study the augmented graded rings and give the ralationship between these
rings and stronger properties of graded rings.
rings and stronger properties of graded rings.