A Ring of Morita Context in Which Each Right Ideal is Weakly Self-Injective

1997 ◽  
pp. 31-38
Author(s):  
S. Barthwal ◽  
S. K. Jain ◽  
S. Jhingan ◽  
Sergio R. López-Permouth
Keyword(s):  
Morita Context

scholarly journals Localization in a Morita context with applications to fixed rings

1991 ◽  
Vol 143 (2) ◽  
pp. 373-387 ◽  
Author(s):  
P Loustaunau ◽  
J Shapiro
Keyword(s):  
Morita Context

Lie ideals, Morita context and Generalized (α, β)-Derivations

2013 ◽  
Vol 33 (4) ◽  
pp. 1059-1070 ◽  
Author(s):  
S. Khalid NAUMAN ◽  
Nadeem ur REHMAN ◽  
R.M. AL-OMARY
Keyword(s):  
Morita Context

Morita invariants of semirings related to a Morita context

2019 ◽  
Vol 12 (02) ◽  
pp. 1950023
Author(s):  
Krishanu Dey ◽  
Sugato Gupta ◽  
Sujit Kumar Sardar
Keyword(s):  
Morita Context ◽  
Morita Equivalent

The main purpose of the paper is to consider two Morita equivalent semirings [Formula: see text] and [Formula: see text] via Morita context [Formula: see text] instead of considering them via the equivalence of the resulting semimodule categories and then to investigate various Morita invariants related to each of the pairs [Formula: see text]; [Formula: see text]; [Formula: see text]; [Formula: see text], etc.

The completion of a morita context

1980 ◽  
Vol 8 (8) ◽  
pp. 717-742 ◽  
Author(s):  
John J. Hutchinson
Keyword(s):  
Morita Context

scholarly journals Prime structures in a Morita context

2020 ◽  
Vol 26 (3) ◽  
pp. 991-1001
Author(s):  
Mete Burak Calci ◽  
Sait Halicioglu ◽  
Abdullah Harmanci ◽  
Burcu Ungor
Keyword(s):  
Morita Context

Characterizations of Morita-like Equivalences for Right XST-Rings

2007 ◽  
Vol 14 (01) ◽  
pp. 85-95
Author(s):  
Baiyu Ouyang ◽  
Liren Zhou ◽  
Wenting Tong
Keyword(s):  
Universal Theory ◽  
Morita Context

The notion of xst-rings was introduced by García and Marín in 1999. In this paper, we characterize Morita-like equivalences for right xst-rings, obtain the universal theory of Morita equivalences, and prove that two right xst-rings R and T are Morita-like equivalent if and only if there is a Morita context between R and T. We also prove that Morita-like equivalences can be realized by the covariant functors Hom and ⊗ for these rings.

scholarly journals Centralizing mappings, Morita context and generalized (α, β)-derivations

2014 ◽  
Vol 8 (4) ◽  
pp. 370-374
Author(s):  
Nadeem ur Rehman ◽  
Motoshi Hongan ◽  
Radwan M. Al-Omary
Keyword(s):  
Morita Context

Morita context functors

1988 ◽  
Vol 103 (3) ◽  
pp. 399-408 ◽  
Author(s):  
W. K. Nicholson ◽  
J. F. Watters
Keyword(s):  
Natural Transformation ◽  
Morita Context ◽  
Natural Transformations ◽  
Tensor Functor

AbstractGiven a Morita context (R, V, W, S), there are functors W⊗() and hom (V, ) from R-mod to; S-mod and a natural transformation λ from the first to the second. This has an epi-mono factorization and the intermediate functor we denote by ()° with natural transformations and . The tensor functor is exact if and only if WR is flat, whilst the hom functor is exact if and only if RV is projective. We begin by determining conditions under which ()° is exact; this is Theorem 1.

scholarly journals Acceptable Morita Contexts for Semigroups

ISRN Algebra ◽  
2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
Valdis Laan
Keyword(s):  
Short Note ◽  
Morita Equivalence ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Morita Context ◽  
Necessary And Sufficient

This short note deals with Morita equivalence of (arbitrary) semigroups. We give a necessary and sufficient condition for a Morita context containing two semigroups S and T to induce an equivalence between the category of closed right S-acts and the category of closed right T-acts.

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