Results 1 to 10 of about 42 (42)

Group graded Morita equivalences for wreath products [PDF]

open access: yes, 2021
Starting with group graded Morita equivalences, we obtain Morita equivalences for tensor products and wreath products.
MINUȚĂ, Virgilius-Aurelian
core   +1 more source

Some properties of graded generalized 2-absorbing submodules

open access: yesDemonstratio Mathematica, 2022
Let GG be an abelian group with identity ee. Let RR be a GG-graded commutative ring and MM a graded RR-module. In this paper, we will obtain some results concerning the graded generalized 2-absorbing submodules and their homogeneous components.
Alghueiri Shatha, Al-Zoubi Khaldoun
doaj   +1 more source

On graded Jgr-classical 2-absorbing submodules of graded modules over graded commutative rings

open access: yesDemonstratio Mathematica, 2021
Let G be an abelian group with identity ee. Let R be a G-graded commutative ring with identity 1, and MM be a graded R-module. In this paper, we introduce the concept of graded Jgr{J}_{gr}-classical 2-absorbing submodule as a generalization of a graded ...
Al-Zoubi Khaldoun, Alghueiri Shatha
doaj   +1 more source

The intersection graph of graded submodules of a graded module

open access: yesOpen Mathematics, 2022
In this article, we introduce and study the intersection graph of graded submodules of a graded module. Let MM be a left GG-graded RR-module. We define the intersection graph of GG-graded RR-submodules of MM, denoted by Γ(G,R,M)\Gamma \left(G,R,M), to be
Alraqad Tariq
doaj   +1 more source

Maps from Feigin and Odesskii's elliptic algebras to twisted homogeneous coordinate rings

open access: yesForum of Mathematics, Sigma, 2021
The elliptic algebras in the title are connected graded $\mathbb {C}$-algebras, denoted $Q_{n,k}(E,\tau )$, depending on a pair of relatively prime integers $n>k\ge 1$, an elliptic curve E and a point $\tau \in E$.
Alex Chirvasitu   +2 more
doaj   +1 more source

Graded I-second submodules

open access: yesDemonstratio Mathematica, 2021
Let G be a group with identity e, R be a G-graded commutative ring with a nonzero unity 1, I be a graded ideal of R, and M be a G-graded R-module. In this article, we introduce the concept of graded I-second submodules of M as a generalization of graded ...
Bataineh Malik, Abu-Dawwas Rashid
doaj   +1 more source

Graded weakly 1-absorbing primary ideals

open access: yesDemonstratio Mathematica, 2023
Let GG be a group and RR be a GG-graded commutative ring with nonzero unity 1. In this article, we introduce the concept of graded weakly 1-absorbing primary ideals which is a generalization of graded 1-absorbing primary ideal.
Bataineh Malik, Abu-Dawwas Rashid
doaj   +1 more source

Some notes on graded weakly 1-absorbing primary ideals

open access: yesDemonstratio Mathematica, 2023
A proper graded ideal PP of a commutative graded ring RR is called graded weakly 1-absorbing primary if whenever x,y,zx,y,z are nonunit homogeneous elements of RR with 0≠xyz∈P0\ne xyz\in P, then either xy∈Pxy\in P or zz is in the graded radical of PP. In
Alshehry Azzh Saad   +2 more
doaj   +1 more source

Generating numbers of rings graded by amenable and supramenable groups

open access: yes, 2023
A ring has unbounded generating number (UGN) if,for every positive integer , there is no -module epimorphism → +1. For a ring = ⨁g∈ g gradedby a group such that the base ring 1 has UGN, weidentify several sets of conditions under which mustalso have
Lorensen, Karl   +5 more
core   +1 more source

Minimal Resolutions of Algebras [PDF]

open access: yes, 1999
. A method is described for constructing the minimal projective resolution of an algebra considered as a bimodule over itself. The method applies to an algebra presented as the quotient of a tensor algebra over a separable algebra by an ideal of ...
M.C.R. Butler   +3 more
core   +1 more source

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