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Projective Groups and Frattini Covers

1986
The absolute Galois group of a PAC field is projective (Theorem 10.17). This chapter includes a converse (Corollary 20.16): If G is a projective group, then there exists a PAC field K such that G (K) ≅ G. Projective groups also appear as the universal Frattini covers of profinite groups (Proposition 20.33).
Michael D. Fried, Moshe Jarden
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Directed fibrations and covering projections

Publicationes Mathematicae Debrecen, 2009
Summary: In this note a notion of Hurewicz fibration in the category d{\textbf{Top}} of directed spaces in the sense of \textit{M. Grandis} [Cah. Topol. Géom. Différ. Catég. 44, No.~4, 281--316 (2003; Zbl 1059.55009)] is defined. The directed homotopy lifting property is characterized by means of lifting pairs.
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Projective Covers and Perfect Rings

1976
A morphism f: A → B of R-modules is said to be minimal provided that ker f is a superfluous submodule of A. For example, for a right ideal I, the canonical map R → R/I is superfluous if and only if I ⊆ rad R 18.3. A module A is a projective cover (proj. cov.) of B provided that A is projective and there exists a minimal epimorphism A → B.
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Lecture 7- Projective Modules and Projective Covers

Defines projective modules via the lifting property (equivalently, exactness of Hom_A(P,−)); notes that free modules and their direct summands are projective and that all modules are projective over semisimple rings. Introduces projective indecomposable modules (PIMs) and shows the number of PIMs equals the number of Brauer simples.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

Gorenstein injective, projective and flat (pre)covers

2014
Summary: We prove that if the ring \(R\) is left noetherian and if the class \(\mathcal {GI}\) of Gorenstein injective modules is closed under filtrations, then \(\mathcal {GI}\) is precovering. We extend this result to the category of complexes. We also prove that when \(R\) is commutative noetherian and such that the character modules of Gorenstein ...
Enochs, Edgar E.   +2 more
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Projective covers of distributive lattices

Algebra Universalis, 1976
Balbes, Raymond, Horn, Alfred
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Projective Cover in σ[M]

Proceedings of the International Conference on Algebra 2010, 2011
null Fitriani, Indah Emilia Wijayanti
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