Results 61 to 70 of about 5,631 (197)

The structure of balanced rings [PDF]

, 1973
Dlab V, Ringel CM. The structure of balanced rings. Proceedings of the London Mathematical Society.
Dlab, Vlastimil, Ringel, Claus Michael
core   +1 more source

ARTINIAN \(\mathbf{M}\)-COMPLETE, \(\mathbf{M}\)-REDUCED, AND MINIMALLY \(\mathbf{M}\)-COMPLETE ASSOCIATIVE RINGS

Ural Mathematical Journal
In 1996, the first author defined analogs of the concepts of complete (divisible), reduced, and periodic abelian groups, well-known in the theory of abelian groups, for arbitrary varieties of algebras. In 2021, the first author proposed a modification of
Leonid M. Martynov, Tatiana V. Pavlova
doaj   +1 more source

Classification of Boolean algebras through von Neumann regular $\mathcal{C}^{\infty}-$rings [PDF]

Categories and General Algebraic Structures with Applications
In this paper, we introduce the concept of a ``von Neumann regular $\mathcal{C}^{\infty}$-ring", which is a model for a specific equational theory.
Jean Berni, Hugo Mariano
doaj   +1 more source

On Poisson (2-3)-algebras which are finite-dimensional over the center

Researches in Mathematics
One of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite, then its derived subgroup $[G,G]$ is also finite.
P.Ye. Minaiev, O.O. Pypka, I.V. Shyshenko   +2 more
doaj   +1 more source

The cohomology ring of a monomial algebra

Manuscripta Mathematica, 1994
For a finite quiver \(\Gamma\) and a set \(\rho\) of its finite paths let \(k\Gamma\) be the path \(k\)-algebra of \(\Gamma\), \(I\) the ideal generated by \(\rho\) and \(\Lambda = k\Gamma/I\) a monomial algebra. Put \(\underline{r}\) for the image in \(\Lambda\) of the ideal of \(k\Gamma\) generated by the arrows of \(\Gamma\).
Green, E.L., Zacharia, D.
openaire   +2 more sources

Algebraic algebras over Π-regular rings

Journal of Algebra, 1973
AbstractWe prove here results complementing our work [1b]. In the process of the proofs we extend some classical results from algebraic algebras over fields [5, Theorem 1; 4, Theorem 6.4.3] to algebraic algebras over Π-regular rings (in the sense of Levitski [6]).
openaire   +1 more source

On purely inseparable algebras and P.H.D. rings

, 1981
M. E. Sweedler has considered purely inseparable algebras over rings. We define a stronger notion for purely inseparable algebras over rings and we study the fundamental properties of purely inseparable algebras.
Shizuka Satô
core   +1 more source

Poisson algebras via model theory and differential-algebraic geometry [PDF]

, 2017
Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim, Omar León Sánchez, Stéphane Launois, Jason Bell, Leon Sanchez, Omar, Sanchez, Omar; id_orcid, Rahim Moosa, Launois, Stephane, Bell, Jason   +8 more
core   +1 more source

Algebraic Aspects of Crossing Cubic BE-Algebras

Fuzzy Information and Engineering
Recently, interval-valued fuzziness and negative structures have gained popularity among researchers and have been widely used in algebraic structures such as semigroups, rings, and lattices. The crossing cubic structure (CC) is an expansion of a bipolar
Noor Bani Abd Al-Rahman, Anas Al-Masarwah, Abd Ulazeez Alkouri   +2 more
doaj   +1 more source

On split quasi-hereditary covers and Ringel duality

Forum of Mathematics, Sigma
In this paper, we develop two new homological invariants called relative dominant dimension with respect to a module and relative codominant dimension with respect to a module.
Tiago Cruz
doaj   +1 more source