Simple modules over CC-groups and monolithic just non-CC-groups
In questo lavoro studiamo i non CC-gruppi monolitici con tutti i quozienti propri CC-gruppi, che hanno sottogruppi abeliani normali non banali.
Simple Skew Polynomial Rings
Simple submodules and multiplicities.
Single elements.
Skew polynomial rings satisfying - property.
Smash products for -sets, Clifford theory and duality theorems.
Smash products, group actions and group graded rings.
Sobre anillos de polinomios que son anillos de Bézout.
Solvable Normal Subgroups and Nilpotent Ideals in Matrix Rings.
Some characterizations of regular modules.
Let M be a left module over a ring R. M is called a Zelmanowitz-regular module if for each x ∈ M there exists a homomorphism F: M → R such that f(x) = x. Let Q be a left R-module and h: Q → M a homomorphism. We call h locally split if for every x ∈ M there exists a homomorphism g: M → Q such that h(g(x)) = x. M is called locally projective if every epimorphism onto M is locally split. We prove that the following conditions are equivalent:(1) M is Zelmanowitz-regular.(2) every homomorphism into M...
Some comments on injectivity and p-injectivity.
Some conditions on fixed rings.
Some embedding theorems for rings
Some external characterizations of SV-rings and hereditary rings.
Some morphisms of modules over the ring of pseudorational numbers.
Some necessary conditions for orders to be of finite lattice type. I.
Some necessary conditions for orders to be of finite lattice type. II.
Some Noteworthy Properties of Zero Divisors in Infinite Rings.
Some Primitive Differential Operator Rings.
Some results on -injective modules, -flat modules and -coherent rings
Let be two non-negative integers. A left -module is called -injective, if for every -presented left -module . A right -module is called -flat, if for every -presented left -module . A left -module is called weakly --injective, if for every -presented left -module . A right -module is called weakly -flat, if for every -presented left -module . In this paper, we give some characterizations and properties of -injective modules and -flat modules in the cases...