Results 21 to 30 of about 302,599 (161)

The X[[S]]-Sub-Exact Sequence of Generalized Power Series Rings

Al-Jabar, 2020
Let  be a ring,  a strictly ordered monoid, and K, L, M are R-modules. Then, we can construct the Generalized Power Series Modules (GPSM) K[[S]], L[[S]], and M[[S]], which are the module over the Generalized Power Series Rings (GPSR) R[[S]].
Wesly Agustinus Pardede, Ahmad Faisol, Fitriani Fitriani   +2 more
doaj   +1 more source

On the explicit geometry of a certain blowing-up of a smooth quadric

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Using the high symmetry in the geometry of a smooth projective quadric, we construct effectively new families of smooth projective rational surfaces whose nef divisors are regular, and whose effective monoids are finitely generated by smooth projective ...
De La Rosa-Navarro B. L., Failla G., Frías-Medina J. B., Lahyane M., Utano R.   +4 more
doaj   +1 more source

Commutative monoid rings as Hilbert rings [PDF]

Proceedings of the American Mathematical Society, 1985
Assume that R is a commutative unitary ring and that S is a cancellative monoid with quotient group G. Let \(\alpha\) be the torsion-free rank of G and let \(X=\{X_ i\}\) be a set of \(\alpha\) indeterminates over R. We prove that the monoid ring R[S], the group ring R[G], and the polynomial ring R[X] are simultaneously Hilbert rings. In particular, if
openaire   +2 more sources

Irreducibility and Factorizations in Monoid Rings [PDF]

, 2020
For an integral domain $R$ and a commutative cancellative monoid $M$, the ring consisting of all polynomial expressions with coefficients in $R$ and exponents in $M$ is called the monoid ring of $M$ over $R$. An integral domain is called atomic if every nonzero nonunit element can be written as a product of irreducibles.
openaire   +2 more sources

Graded near-rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties.
Dumitru Mariana, Năstăsescu Laura, Toader Bogdan   +2 more
doaj   +1 more source

Smarandache rings [PDF]

, 2002
Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
core   +1 more source

Semi-Baer and Semi-Quasi Baer Properties of Skew Generalized Power Series Rings [PDF]

Assiut University Journal of Multidisciplinary Scientific Research
Let R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of semi-Baer and semi-quasi Baer rings were introduced by Waphare and Khairnar as extensions ...
Mostafa Hamam, Ramy Abdel-Khaleq, Refaat Salem   +2 more
doaj   +1 more source

Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw Generalized Power Series Rings [PDF]

Assiut University Journal of Multidisciplinary Scientific Research
Let R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi ...
Refaat Salem, Ramy Abdel-Khalek, Mostafa Hamam   +2 more
doaj   +1 more source

The ring of regular functions of an algebraic monoid [PDF]

Transactions of the American Mathematical Society, 2011
Let M be an irreducible normal algebraic monoid with unit group G. It is known that G admits a Rosenlicht decomposition, G=G_antG_aff, where G_ant is the maximal anti-affine subgroup of G, and G_aff the maximal normal connected affine subgroup of G. In this paper we show that this decomposition extends to a decomposition M=G_antM_aff, where M_aff is ...
Renner, Lex, Rittatore, Alvaro
openaire   +3 more sources

FOR WHICH PUISEUX MONOIDS ARE THEIR MONOID RINGS OVER FIELDS AP?

International Electronic Journal of Algebra, 2020
A Puiseux monoid is a submonoid of the set of nonnegative rational numbers under addition. For a monoid \(M\), a field \(F\) and a symbol \(X\), the set \(F[X;M]=\bigoplus_{m\in M}F X^m\), is the semigroup ring associated to \(M\); addition is performed component wise, and multiplication follows by the distributive law and the rule \(X^mX^n=X^{m+n ...
GİPSON, Ryan, KULOSMAN, Hamid
openaire   +4 more sources