Object

Title: On the socles of commutator invariant submodules of {\mathversion{bold}{$QTAG$}}-modules

Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Date of publication:

2018

Volume:

10

Number:

7

ISSN:

1829-1163

Official URL:


Contributor(s):

Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

Coverage:

1-11

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

Date created:

2018-08-22

Format:

pdf

Identifier:

oai:arar.sci.am:13318

General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Object collections:

Last modified:

Dec 13, 2023

In our library since:

Feb 12, 2020

Number of object content hits:

35

All available object's versions:

https://arar.sci.am/publication/15064

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