Baer Group Rings with Involution

Anil KHAİRNAR; B. N. WAPHARE

doi:https://doi.org/10.24330/ieja.325913

Article Details

Baer Group Rings with Involution

Authors:

Anil KHAİRNAR | B. N. WAPHARE

Publisher:

Abdullah HARMANCI

Main Topics:

Mathematics

Journal:

International Electronic Journal of Algebra 2017 Vol.22 Issue 22, pp.1-10

Document Type:

Article

Publication Date:

7/2017

Document Language:

Turkish

Document ID (Org No.):

2000718037

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.325913

Abstract:

 


We prove that if a group ring RGRGRG is a (quasi) Baer ∗∗*-ring, then so is RRR, whereas converse is not true.      Sufficient conditions are given so that for some finite cyclic groups GGG,     if RRR is (quasi-) Baer ∗∗*-ring, then so is the group ring RGRGRG.     We prove that if the group ring RGRGRG is a Baer ∗∗*-ring, then so is RHRHRH for every subgroup HHH of GGG.     Also, we generalize results of Zhong Yi, Yiqiang Zhou (for (quasi-) Baer rings) and  L. Zan, J. Chen      (for principally quasi-Baer and principally projective rings).

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Article Details

Baer Group Rings with Involution

Authors: Anil KHAİRNAR | B. N. WAPHARE

Publisher: Abdullah HARMANCI

Main Topics: Mathematics

Journal: International Electronic Journal of Algebra 2017 Vol.22 Issue 22, pp.1-10

Document Type: Article

Publication Date: 7/2017

Document Language: Turkish

Document ID (Org No.): 2000718037

Frequency: Monthly

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.325913

Issues

Authors:

Anil KHAİRNAR | B. N. WAPHARE

Publisher:

Abdullah HARMANCI

Main Topics:

Mathematics

Journal:

International Electronic Journal of Algebra 2017 Vol.22 Issue 22, pp.1-10

Document Type:

Article

Publication Date:

7/2017

Document Language:

Turkish

Document ID (Org No.):

2000718037

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.325913