Finitely generated
On a Proper Subclass of Primeful Modules Which Contains the Class of Finitely Generated Modules Properly
... ψ-modules, finitely generated modules, free modules (of finite or infinite rank), faithful projective modules over domains and modules over Artinian rings are φ-modules (Theorem 1, Corollary 1, Theorem 2, ...
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PP 2007 34: MacNeille completion and profinite completion can coincide on finitely generated modal algebras
... Proof. Let L be either K4 or PDL and let V be the variety corresponding to L. Since L has the finite model property, V is generated by its finite members. By [13, Theorem IV-14.4], this implies that A , being a ...
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Finitely Generated Annihilating-Ideal Graph of Commutative Rings
... In [2], the authors studied rings for which annihilating-ideal graph is bipartite and star graph, the following two proposition shows that finitely generated annihilating-ideal graph is bi- partite (star) ...
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On verbal subgroups of finitely generated nilpotent groups
... and coordinates in group 𝐺 allows to represent elements of 𝐺 as unitrian- gular matrices with integer entries. The latter is stated in the following Lemma 2. Every torsion-free finitely generated nilpotent ...
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Semigroups with finitely generated universal left congruence
... is finitely gen- erated that lie in certain important classes, such as strong semilattices of semigroups, inverse semigroups, Rees matrix semigroups (over semigroups) and completely regu- lar ...is finitely ...
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Commutator Length of Finitely Generated Linear Groups
... every finitely generated linear group which does not contain a nonabelian free group has a soluble subgroup of finite ...a finitely generated linear group which does not contain a nonabelian ...
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Periodic rings with finitely generated underlying group
... For the rest of the paper, we deal with rings which do not necessarily have identity. Proposition 2.2. Let R be a periodic ring such that (R, +) is finitely generated. Then R fits into an extension F → R → ...
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Finitely generated left ideals in Banach algebras on groups and semigroups
... We now give this question some context. In 1974 Sinclair and Tullo [15] proved that a left Noetherian Banach algebra, by which we mean a Ba- nach algebra in which all the left ideals are finitely-generated ...
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Finitely Generated n-Ideals of a NearLattice
... all finitely generated n-ideals is denoted by F n (S ) ...n-ideal generated by a single element x, is called a principal n-ideal and is denoted by < x > n ...
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On invertor elements and finitely generated subgroups of groups acting on trees with inversions
... finitely generated subgroup of G, then H contains an invertor element or some conjugate of H contains a cyclically reduced element of length at least one on which H is not in any vertex stabilizer of G, or H is in ...
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Projectivity and flatness over the endomorphism ring of a finitely generated module
... In fact, both results are special cases of a more general result which happens to be very elementary. Let Λ be a finitely generated module over a ring A, and B the endomorphism ring of Λ . Adapting the techniques ...
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On almost finitely generated nilpotent groups
... In the category of abelian groups a subgroup of an fg-like group is fg-like, ii an extension of an fg-like group by an fg-like group is fg-like We thus devote much attention to the statu[r] ...
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On generators and presentations of semidirect products in inverse semigroups
... is finitely generated if and only if it is ...for finitely generated or finitely presented semidirect products of semilattices by groups where ...
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On linear algebraic semigroups III
... isomorphic to the maximal semilattice image of some finitely generated, commutative, idempotent free, totally cancellative semigroup... is the maximal semilattice image.[r] ...
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Strongly prime submodules and strongly 0-dimensional modules
... has finitely many maximal ...a finitely generated module is strongly 0-dimensional if and only if it is a zero dimensional quasi-semi-local ...
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Soluble Lie rings
... Finitely generated abelian by nilpotent groups are residually finite... have been obtained for Lie algebras:.[r] ...
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Characteristic classes and projective modules
... important theorem of Swan 6, the problem arises to define and investigate characteristic classes for finitely generated modules over a commutative ring... These can then be interpreted a[r] ...
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Groups with many pronormal and transitively normal subgroups
... not finitely generated subgroups are normal, have been studied by ...not finitely generated subgroups are normal, were described very ...not finitely generated subgroups are ...
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On the growth of generating sets for direct powers of semigroups
... An element s of a semigroup S is said to be indecomposable if s 6= uv for any u, v ∈ S. Clearly, an indecomposable element must belong to every generating set of S. Now suppose that S and T are infinite semigroups. If s ...
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Presentations for subsemigroups of groups
... abelian group N and is therefore itself finitely generated. The strategy is to pick a finite [semigroup] generating set for this kernel, pull this set back to a set of tuples Y in if , and thus to find a ...
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