Morita equivalence of semirings with local units

被引：1

作者：

Das, M. ^{[1
]}

Gupta, S. ^{[2
]}

Sardar, S. K. ^{[1
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata, India

[2] Vidyasagar Coll Women, Dept Math, Kolkata, India

来源：

ALGEBRA AND DISCRETE MATHEMATICS | 2021年 / 31卷 / 01期

关键词：

Morita equivalence; Morita context; Morita invariant; semiring; semimodule;

D O I：

10.12958/adm1288

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study some necessary and sufficient conditions for two semirings with local units to be Morita equivalent. Then we obtain some properties which remain invariant under Morita equivalence.

引用

页码：37 / 60

页数：24

共 17 条

[1] MORITA EQUIVALENCE FOR RINGS WITH LOCAL UNITS [J].

ABRAMS, GD .

COMMUNICATIONS IN ALGEBRA, 1983, 11 (08) :801-837

[2]

Adamek J., 1990, Abstract and Concrete Categories

[3]

Anderson F., 1992, RINGS CATEGORIES MOD

[4]

ANH PN, 1987, TSUKUBA J MATH, V11, P1

[5]

[Anonymous], 1998, Series in Algebra, DOI [DOI 10.1142/3903, 10.1142/3903]

[6]

Ghosh S., 1993, SOOCHOW J MATH, V19, P305

[7]

Golan J.S., 2010, SEMIRINGS THEIR APPL, DOI DOI 10.1007/978-94-015-9333-5

[8] Morita invariants of semirings-II [J].

Gupta, Sugato ;

Sardar, Sujit Kumar .

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (01)

[9]

Hebisch U., 1996, HDB ALGEBRA, V1, P425, DOI DOI 10.1016/S1570-7954(96)80016-7.MR1421808

[10] MORITA EQUIVALENCE AND HOMOLOGICAL CHARACTERIZATION OF SEMIRINGS [J].

Katsov, Y. ;

Nam, T. G. .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2011, 10 (03) :445-473

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