نتایج جستجو برای: injective cogenerator

تعداد نتایج: 3219  

2012
J. LAMBEK MICHAEL BARR JOHN F. KENNISON R. RAPHAEL Michael Barr John F. Kennison

We find the injective hulls of partially ordered monoids in the category whose objects are po-monoids and submultiplicative order-preserving functions. These injective hulls are with respect to a special class of monics called “embeddings”. We show as well that the injective objects with respect to these embeddings are precisely the quantales.

Journal: :Categories and general algebraic structures with applications 2022

In this paper, motivated by Cagliari and Mantovani, we have obtained a characterization of injective objects (with respect to the class embeddings in category

Journal: :bulletin of the iranian mathematical society 2016
sh. asgari m. arabi-kakavand h. khabazian

we introduce the class of “right almost v-rings” which is properly between the classes of right v-rings and right good rings. a ring r is called a right almost v-ring if every simple r-module is almost injective. it is proved that r is a right almost v-ring if and only if for every r-module m, any complement of every simple submodule of m is a direct summand. moreover, r is a right almost v-rin...

Journal: :Studia Logica 2013
Peter Aczel Benno van den Berg Johan Georg Granström Peter Schuster

The axiom of choice ensures precisely that, in ZFC, every set is projective: that is, a projective object in the category of sets. In constructive ZF (CZF) the existence of enough projective sets has been discussed as an additional axiom taken from the interpretation of CZF in Martin-Löf’s intuitionistic type theory. On the other hand, every non–empty set is injective in classical ZF, which arg...

Journal: :International Journal of Mathematics and Mathematical Sciences 2005

Journal: :bulletin of the iranian mathematical society 2013
a. xu x. yan

let r be a right gf-closed ring with finite left and right gorenstein global dimension. we prove that if i is an ideal of r such that r/i is a semi-simple ring, then the gorensntein flat dimensnion of r/i as a right r-module and the gorensntein injective dimensnnion of r/i as a left r-module are identical. in particular, we show that for a simple module s over a commutative gorensntein ring r, ...

2011
Felipe García-Ramos

It is known that injective Cellular Automata (CA) are surjective. In general, the converse is not true, and there are many algebraic CA counterexamples. However, there are interesting subclasses where this might be true. For example, if a surjective CA has entropy 0 then it is almost injective (Moothathu (2011)) and it is not known if it is actually injective. The author believes there are some...

Journal: :CoRR 2017
Stefan Bard Thomas Bellitto Christopher Duffy Gary MacGillivray Feiran Yang

Given two graphs G = (VG, EG) and H = (VH , EH), a homomorphism from G to H is a function f : VG → VH such that for every uv ∈ EG, f(u)f(v) ∈ EH . A homomorphism from G to H is referred to as an H-colouring of G and the vertices of H are regarded as colours. The graph H is called the target of the homomorphism. These definitions extend to directed graphs by requiring that the mapping must prese...

2011
A. Crolla

Introduction Over the past several years there has been significant interest in adopting on-farm manure anaerobic digesters in Ontario. The potential for sustainable energy production, while reducing greenhouse gas (GHG) emissions, mitigating pathogens and odours, and increasing ionized nutrients in the digestate, has made anaerobic digestion an attractive option for manure management. The biog...

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