Titlebook: Associative and Non-Associative Algebras and Applications; 3rd MAMAA, Chefchaou Mercedes Siles Molina,Laiachi El Kaoutit,Mohamed B Conferen

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FACT

Semi-ring Based Gröbner–Shirshov Bases over a Noetherian Valuation Ringing rather in a monoid. In this paper, we study Gröbner–Shirshov bases where the monomials are in a semi-ring and the coefficients are in a noetherian valuation ring and we establish the relation between weak and strong Gröbner bases.

刺穿

Conference proceedings 2020ouen, Morocco, April 12-14, 2018, and which reflects the mathematical collaboration between south European and north African countries, mainly France, Spain, Morocco, Tunisia and Senegal. The book is divided in three parts and features contributions from the following fields: algebraic and analytic

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https://doi.org/10.1007/978-1-4757-3184-2 the automorphisms having the property of extension, in the category of abelian groups. Let . be an integral bounded factorization domain and . a direct sum of cyclic torsion-free modules over .. This work aims to prove that the automorphisms of . that satisfy the property of the extension are none other than the homotheties of invertible ratio.

Longitude

The Extension Property in the Category of Direct Sum of Cyclic Torsion-Free Modules over a BFD the automorphisms having the property of extension, in the category of abelian groups. Let . be an integral bounded factorization domain and . a direct sum of cyclic torsion-free modules over .. This work aims to prove that the automorphisms of . that satisfy the property of the extension are none other than the homotheties of invertible ratio.

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