Symmetric and reversible properties of bi-amalgamated rings

Antonysamy Aruldoss; Chelliah Selvaraj

Czechoslovak Mathematical Journal (2024)

  • Volume: 74, Issue: 1, page 17-27
  • ISSN: 0011-4642

Abstract

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Let f : A → B and g : A → C be two ring homomorphisms and let K and K ' be two ideals of B and C , respectively, such that f - 1 ( K ) = g - 1 ( K ' ) . We investigate unipotent, symmetric and reversible properties of the bi-amalgamation ring A ⋈ f , g ( K , K ' ) of A with ( B , C ) along ( K , K ' ) with respect to ( f , g ) .

How to cite

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Aruldoss, Antonysamy, and Selvaraj, Chelliah. "Symmetric and reversible properties of bi-amalgamated rings." Czechoslovak Mathematical Journal 74.1 (2024): 17-27. <http://eudml.org/doc/299241>.

@article{Aruldoss2024,
abstract = {Let $f \colon A\rightarrow B$ and $g\colon A\rightarrow C$ be two ring homomorphisms and let $K$ and $K^\{\prime \}$ be two ideals of $B$ and $C$, respectively, such that $f^\{-1\}(K) = g^\{-1\}(K^\{\prime \})$. We investigate unipotent, symmetric and reversible properties of the bi-amalgamation ring $A\bowtie ^\{f,g\}(K, K^\{\prime \})$ of $A$ with $(B, C)$ along $(K, K^\{\prime \})$ with respect to $(f, g)$.},
author = {Aruldoss, Antonysamy, Selvaraj, Chelliah},
journal = {Czechoslovak Mathematical Journal},
keywords = {amalgamated ring; unipotent; symmetric ring; reversible ring},
language = {eng},
number = {1},
pages = {17-27},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Symmetric and reversible properties of bi-amalgamated rings},
url = {http://eudml.org/doc/299241},
volume = {74},
year = {2024},
}

TY - JOUR
AU - Aruldoss, Antonysamy
AU - Selvaraj, Chelliah
TI - Symmetric and reversible properties of bi-amalgamated rings
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 74
IS - 1
SP - 17
EP - 27
AB - Let $f \colon A\rightarrow B$ and $g\colon A\rightarrow C$ be two ring homomorphisms and let $K$ and $K^{\prime }$ be two ideals of $B$ and $C$, respectively, such that $f^{-1}(K) = g^{-1}(K^{\prime })$. We investigate unipotent, symmetric and reversible properties of the bi-amalgamation ring $A\bowtie ^{f,g}(K, K^{\prime })$ of $A$ with $(B, C)$ along $(K, K^{\prime })$ with respect to $(f, g)$.
LA - eng
KW - amalgamated ring; unipotent; symmetric ring; reversible ring
UR - http://eudml.org/doc/299241
ER -

References

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