Schur multiplier and (residual) nilpotent Lie rings

2020 ◽  
Vol 48 (12) ◽  
pp. 5321-5329
Author(s):  
Mahin Heidari ◽  
Mohammad Reza Rismanchian ◽  
Mehdi Araskhan
Keyword(s):  
Schur Multiplier ◽  
Lie Rings

Some Inequalities for the Order of the Schur Multiplier of a Pair of Groups

2008 ◽  
Vol 36 (7) ◽  
pp. 2481-2486 ◽  
Author(s):  
Mohammad Reza R. Moghaddam ◽  
Ali Reza Salemkar ◽  
Taghi Karimi
Keyword(s):  
Schur Multiplier

Derivations of differentially semiprime rings

2019 ◽  
Vol 12 (05) ◽  
pp. 1950079
Author(s):  
Ahmad Al Khalaf ◽  
Iman Taha ◽  
Orest D. Artemovych ◽  
Abdullah Aljouiiee
Keyword(s):  
Commutative Ring ◽  
Semiprime Ring ◽  
Prime Rings ◽  
Commutative Case ◽  
Lie Ring ◽  
Lie Rings ◽  
Semiprime Rings ◽  
Torsion Free

Earlier D. A. Jordan, C. R. Jordan and D. S. Passman have investigated the properties of Lie rings Der [Formula: see text] of derivations in a commutative differentially prime rings [Formula: see text]. We study Lie rings Der [Formula: see text] in the non-commutative case and prove that if [Formula: see text] is a [Formula: see text]-torsion-free [Formula: see text]-semiprime ring, then [Formula: see text] is a semiprime Lie ring or [Formula: see text] is a commutative ring.

Varieties of solvable Lie rings of finite width

1998 ◽  
Vol 63 (5) ◽  
pp. 569-574
Author(s):  
D. S. Ananichev ◽  
M. V. Volkov
Keyword(s):  
Finite Width ◽  
Lie Rings

Multiplicative Lie algebras and Schur multiplier

2019 ◽  
Vol 223 (9) ◽  
pp. 3695-3721 ◽  
Author(s):  
Ramji Lal ◽  
Sumit Kumar Upadhyay
Keyword(s):  
Lie Algebras ◽  
Schur Multiplier

On the schur multiplier ofp-groups

1999 ◽  
Vol 27 (9) ◽  
pp. 4173-4177 ◽  
Author(s):  
Graham Ellis
Keyword(s):  
Schur Multiplier

scholarly journals Color Lie rings and PBW deformations of skew group algebras

2019 ◽  
Vol 518 ◽  
pp. 211-236
Author(s):  
S. Fryer ◽  
T. Kanstrup ◽  
E. Kirkman ◽  
A.V. Shepler ◽  
S. Witherspoon
Keyword(s):  
Group Algebras ◽  
Lie Rings ◽  
Skew Group Algebras

scholarly journals ON THE EXPONENT OF THE SCHUR MULTIPLIER OF A PAIR OF FINITE p-GROUPS

2013 ◽  
Vol 12 (08) ◽  
pp. 1350053
Author(s):  
FAHIMEH MOHAMMADZADEH ◽  
AZAM HOKMABADI ◽  
BEHROOZ MASHAYEKHY
Keyword(s):  
Upper Bound ◽  
Schur Multiplier

In this paper, we find an upper bound for the exponent of the Schur multiplier of a pair (G, N) of finite p-groups, when N admits a complement in G. As a consequence, we show that the exponent of the Schur multiplier of a pair (G, N) divides exp (N) if (G, N) is a pair of finite p-groups of class at most p – 1. We also prove that if N is powerfully embedded in G, then the exponent of the Schur multiplier of a pair (G, N) divides exp (N).

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