Results 21 to 30 of about 187 (161)
Nil-Armendariz rings relative to a monoid
Arabian Journal of Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lunqun, Ouyang, Jinwang, Liu
+6 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
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 +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
When Are Graded Rings Graded S-Noetherian Rings
Mathematics, 2020 Let Γ be a commutative monoid, R=⨁α∈ΓRα a Γ-graded ring and S a multiplicative subset of R0. We define R to be a graded S-Noetherian ring if every homogeneous ideal of R is S-finite. In this paper, we characterize when the ring R is a graded S-Noetherian
Dong Kyu Kim, Jung Wook Lim
doaj +1 more source
Endomorphisms of Some Groupoids of Order $k+k^2$
Известия Иркутского государственного университета: Серия "Математика", 2020 Automorphisms and endomorphisms are actively used in various theoretical studies. In particular, the theoretical interest in the study of automorphisms is due to the possibility of representing elements of a group by automorphisms of a certain algebraic ...
A.V. Litavrin
doaj +1 more source
Strongly Semicommutative Rings Relative to a Monoid [PDF]
Ukrainian Mathematical Journal, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Barekeng, 2011 Dalam aljabar, semiring merupakan suatu struktur yang serupa dengan ring, tetapi tanpa syarat bahwa setiap elemen harus memiliki invers terhadap operasi penjumlahan. Jika pada ring, R,  adalah grup komutatif atau grup abelian maka pada semiring, S, 
Susan R. Lisapaly, Elvinus R. Persulessy
doaj +1 more source
Publicacions Matemàtiques, 1989 We give a new condition on a monoid M for the monoid ring F[M] to be a 2-fir. Futhermore, we construct a monoid M that satisfies all the currently known necessary conditions for F[M] to be a semifir and that the group of units ofM is trivial, but M is not a directed union of free monoids.
openaire +4 more sources
PS-Modules over Ore Extensions and Skew Generalized Power Series Rings
International Journal of Mathematics and Mathematical Sciences, 2015 A right R-module MR is called a PS-module if its socle, SocMR, is projective. We investigate PS-modules over Ore extension and skew generalized power series extension.
Refaat M. Salem +2 more
doaj +1 more source