Publication Details:
Journal or Publication Title:
Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Title:
On the socles of commutator invariant submodules of {\mathversion{bold}{$QTAG$}}-modules
Creator:
Contributor(s):
Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
Subject:
Commutative rings and algebras ; Associative rings and algebras
Coverage:
Abstract:
In [8, 7, 9], respectively, socles have been studied with the aid of fully invariant, characteristic and projection invariant submodules of QTAG-modules. Here we focus our attention to the socles of commutator invariant submodules and introduce a new class of modules, which we term commutator socle-regular QTAG-modules. After establishing some crucial properties of commutator socle-regularity, we show that the addition of separable summand to a module does not influence commutator socle-regularity.
Publisher:
National Academy of Sciences of Armenia
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General note:
Electronic Open Access Publication of the National Academy of Sciences of Armenia
Digitization:
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան