1,347 research outputs found
Sheffer operation in ortholattices
No full textsummary:We introduce the concept of Sheffer operation in ortholattices and, more generally, in lattices with antitone involution. By using this, all the fundamental operations of an ortholattice or a lattice with antitone involution are term functions built up from the Sheffer operation. We list axioms characterizing the Sheffer operation in these lattices
Self-inverse Sheffer sequences and Riordan involutions
No full textAbstractIn this short note, we focus on self-inverse Sheffer sequences and involutions in the Riordan group. We translate the results of Brown and Kuczma on self-inverse sequences of Sheffer polynomials to describe all involutions in the Riordan group
Fuzzy Ideals of Sheffer Stroke Hilbert Algebras
No full textIn this study, fuzzy subalgebras and ideals with t-conorms on Sheffer stroke Hilbert algebras are discussed. We state and prove relationships between the level-set of a fuzzy subalgebra with a t-conorm T (briefly, T-fuzzy subalgebra) and a subalgebra of a Sheffer stroke Hilbert algebra. Then the composition of T-fuzzy subalgebras and homomorphisms of Sheffer stroke Hilbert algebras are analyzed. By defining fuzzy subalgebras of Sheffer stroke Hilbert algebras, the relationships between fuzzy subalgebras and T-fuzzy subalgebras of this algebraic structure are investigated. Also, it is shown that every fuzzy ideal with t-conorm T (in short, T-fuzzy ideal) is a T-fuzzy subalgebra but the converse does not generally hold. As in T-fuzzy subalgebras of Sheffer stroke Hilbert algebras, some properties of the T-fuzzy ideals are proved. © 2022, The Author(s), under exclusive licence to The National Academy of Sciences, India.The authors are thankful to the referees for a careful reading of the paper and for valuable comments and suggestions
Representations of Sheffer Polynomials
No full textIn this paper we investigate which Sheffer polynomials can be represented as moments of convolution semigroups of probability measures. We also obtain general integral representations for shift-invariant operators and for umbral operators. As a corollary, we obtain new proofs for representation theorems for Sheffer polynomials due to Sheffer and Thorne
Interval sheffer stroke basic algebras
No full textIn this paper we deal with Sheffer stroke basic algebras A = (A; |), and we define the operations for any elements a, b ? A in such a way that become also Sheffer Stroke basic algebras, respectively. Subsequeutly, we show that these interval Sheffer Stroke basic algebras on a given Sheffer Stroke basic algebra A = (A; |) verify the patchwork condition. © 2019, Işik University, Department of Mathematics
INTERVAL SHEFFER STROKE BASIC ALGEBRAS
No full textIn this paper we deal with She ff er stroke basic algebras A = (A; vertical bar), and we define the operations vertical bar a, vertical bar(b), vertical bar(b)(a) for any elements a, b is an element of A in such a way that ([a; 1]; vertical bar(a)), ([0; b]; vertical bar(b)), ([a; b]; vertical bar(b)(a)) become also Sheffer Stroke basic algebras, respectively. Subsequeutly, we show that these interval Sheffer Stroke basic algebras on a given Sheffer Stroke basic algebra A = ( A; vertical bar) verify the patchwork condition
Sheffer Stroke Operation on L-Algebras via an Algorithmic Approach
No full textIn this study, we introduce the Sheffer stroke L-algebra and prove some fundamental theorems, propositions and lemmas of Sheffer Stroke L-algebras. The notions of filter and ultrafilter for Sheffer stroke L-algebra are studied. We give subalgebra and normal subset definitions of a Sheffer stroke L-algebras. Moreover, a homomorphism between Sheffer stroke L-algebras is introduced and isomorphism theorems are presented. Finally, we give three new algorithms for Sheffer stroke L-algebras. Thus, it is contributed to researchers on different application areas by presenting an algorithmic approach on this subject, for the first time in the literature. © The Author(s) 2024
An extension of Sheffer polynomials
No full textSheffer [Some properties of polynomial sets of type zero, Duke Math. J. 5 (1939), pp.590-622] studied polynomial sets zero type and many authors investigated various properties and its applications. In the sequel to the study of Sheffer Polynomials, an attempt is made to generalize the Sheffer polynomials by using partial differential operator
Relation between Sheffer stroke and Hilbert algebras
No full textIn this paper, we introduce a Sheffer stroke Hilbert algebra by giving definitions of Sheffer stroke and a Hilbert algebra. After it is shown that the axioms of Sheffer stroke Hilbert algebra are independent, it is given some properties of this algebraic structure. Then it is stated the relationship between Sheffer stroke Hilbert algebra and Hilbert algebra by defining a unary operation on Sheffer stroke Hilbert algebra. Also, it is presented deductive system and ideal of this algebraic structure. It is defined an ideal generated by a subset of a Sheffer stroke Hilbert algebra, and it is constructed a new ideal of this algebra by adding an element of this algebra to its ideal.Ege University Scientific Research Projects DirectorateEge University [20772]The authors would like to express their sincere thanks to the referee for their valuable suggestions and comments. This study is partially funded by Ege University Scientific Research Projects Directorate with the Project Number 20772
Fuzzy Ideals of Sheffer Stroke Hilbert Algebras
No full textIn this study, fuzzy subalgebras and ideals with t-conorms on Sheffer stroke Hilbert algebras are discussed. We state and prove relationships between the level-set of a fuzzy subalgebra with a t-conorm T (briefly, T-fuzzy subalgebra) and a subalgebra of a Sheffer stroke Hilbert algebra. Then the composition of T-fuzzy subalgebras and homomorphisms of Sheffer stroke Hilbert algebras are analyzed. By defining fuzzy subalgebras of Sheffer stroke Hilbert algebras, the relationships between fuzzy subalgebras and T-fuzzy subalgebras of this algebraic structure are investigated. Also, it is shown that every fuzzy ideal with t-conorm T (in short, T-fuzzy ideal) is a T-fuzzy subalgebra but the converse does not generally hold. As in T-fuzzy subalgebras of Sheffer stroke Hilbert algebras, some properties of the T-fuzzy ideals are proved
- …
