Rings of Endomorphisms of Semigroup-Graded Modules
نویسندگان
چکیده
منابع مشابه
Graded Rings and Modules
1 Definitions Definition 1. A graded ring is a ring S together with a set of subgroups Sd, d ≥ 0 such that S = ⊕ d≥0 Sd as an abelian group, and st ∈ Sd+e for all s ∈ Sd, t ∈ Se. One can prove that 1 ∈ S0 and if S is a domain then any unit of S also belongs to S0. A homogenous ideal of S is an ideal a with the property that for any f ∈ a we also have fd ∈ a for all d ≥ 0. A morphism of graded r...
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15 صفحه اول-semigroup Endomorphisms of B(h)
In the paper [2] the author studied the question of additivity of *semigroup isomorphisms between operator algebras. The problem that when multiplicativity implies additivity was previously investigated also from the purely algebraic point of view [7]. Using that result, the semigroup isomorphisms between standard operator algebras were completely described in [10]. The common characteristic of...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1996
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181072065