Results 51 to 60 of about 4,598 (226)

Translations of Intuitionistic Fuzzy B-algebras

open access: yesFuzzy Information and Engineering, 2015
In this paper, the concept of intuitionistic fuzzy translation to intuitionistic fuzzy subalgebras and ideals in B-algebras are introduced with several related properties investigated. Examples are also given to illustrate results.
Tapan Senapati
doaj   +1 more source

Subalgebra Analogue to H-Basis for Ideals

open access: yesHacettepe Journal of Mathematics and Statistics, 2016
Summary: The H-basis concept allows an investigation of multivariate polynomial spaces degree by degree. In this paper we present the analogue of H-bases for subalgebras in polynomial rings, we call them ``SH-bases''. We present their connection to the Sagbi basis concept, characterize SH-basis and show how to construct them.
KHAN, Junaid Alam   +2 more
openaire   +3 more sources

Subalgebra Analogue to standard basis for ideal [PDF]

open access: yesStudia Scientiarum Mathematicarum Hungarica, 2011
A theory of “subalgebra basis” analogous to standard basis (the generalization of Gröbner bases to monomial orderings which are not necessarily well orderings [1]) for ideals in polynomial rings over a field is developed. We call these bases “SASBI Basis” for “Subalgebra Analogue to Standard Basis for Ideals”.
openaire   +2 more sources

Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent lie algebras

open access: yesLinear and multilinear algebra, 2020
In this paper, we continue the study of abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable and nilpotent Lie algebras.
D. Towers
semanticscholar   +1 more source

Elementary Lie Algebras and Lie A-Algebras. [PDF]

open access: yes, 2007
A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
core   +1 more source

Intuitionistic Hesitant Fuzzy UP (BCC)-Filters of UP (BCC)-Algebras

open access: yesInternational Journal of Analysis and Applications, 2023
The concepts of intuitionistic hesitant fuzzy UP (BCC)-subalgebras, UP (BCC)-ideals, and UP (BCC)-filters of UP (BCC)-algebras are presented, some of their features are explained, and their extensions are demonstrated using the theory of hesitant fuzzy ...
Aiyared Iampan   +3 more
doaj   +1 more source

Efficient generation of ideals in core subalgebras of the polynomial ring $k[t]$ over a field $k$ [PDF]

open access: yesProceedings of the American Mathematical Society, 2019
This note aims at finding explicit and efficient generation of ideals in subalgebras $R$ of the polynomial ring $S=k[t]$ ($k$ a field) such that $t^{c_0}S \subseteq R$ for some integer $c_0 > 0$.
Naoki Endo   +3 more
semanticscholar   +1 more source

Ad-nilpotent ideals of a Borel subalgebra II

open access: yesJournal of Algebra, 2002
AmsTex file, 38 pages; revised version. To appear in Advances in Mathematics under the title "Abelian ideals of Borel subalgebras and affine Weyl groups"
PAPI, Paolo, CELLINI P.
openaire   +5 more sources

Inf-hesitant Fuzzy Subalgebras and Ideals in BCK/BCI-algebras

open access: yesEuropean Journal of Pure and Applied Mathematics, 2020
In the present paper, we introduce the notions of Inf-hesitant fuzzy subalgebras and Inf-hesitant fuzzy ideals in BCK/BCI-algebras and investigate their relations and properties.
G. Muhiuddin   +3 more
semanticscholar   +1 more source

Bipolar Fuzzy UP-Algebras

open access: yesMathematical and Computational Applications, 2018
In this paper, we apply the notion of bipolar-valued fuzzy set to UP-algebras. We introduce the notions of bipolar fuzzy UP-subalgebras (resp., bipolar fuzzy UP-filters, bipolar fuzzy UP-ideals, and bipolar fuzzy strongly UP-ideals) of UP-algebras and ...
Korawut Kawila   +2 more
doaj   +1 more source

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