Graded near-rings

被引：0
|
作者：
Dumitru, Mariana [1 ]
Nastasescu, Laura [2 ]
Toader, Bogdan [3 ]
机构：
[1] Maritime Univ Constanta, Fac Nav & Naval Transport, Str Mircea Cel Batran 104, RO-900663 Constanta, Romania
[2] Univ Bucharest, Algebra & Number Theory Res Ctr, Str Acad 14, RO-010014 Bucharest 1, Romania
[3] Dimitrie Cantemir Christian Univ, Fac Tourism & Commercial Management, Splaiul Unirii 176, RO-030134 Bucharest 4, Romania
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2016年 / 24卷 / 01期
关键词：
near-ring; graded near-ring; graded ring associated to a graded abelian near-ring;
D O I：
10.1515/auom-2016-0011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties. We give some examples of graded near-rings having various interesting properties, and we define and study the G(op)-graded ring associated to a G-graded abelian near-ring, where G is a left cancellative monoid and G(op) is its opposite monoid. We also compute the graded ring associated to the graded near-ring of polynomials (over a commutative ring R) whose constant term is zero.
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页码：201 / 216
页数：16
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