Results 21 to 30 of about 48 (48)
One‐sided complements and solutions of the equation aXb = c in semirings
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 8, Page 453-458, 2002., 2002 Given multiplicatively‐regular elements a and b in a semiring R, and given an element c of R, we find a complete set of solutions to the equation aXb = c. This result is then extended to equations over matrix semirings.
Sam L. Blyumin, Jonathan S. Golan
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Characterizations of projective and k‐projective semimodules
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 7, Page 439-448, 2002., 2002 This paper deals with projective and k‐projective semimodules. The results for projective semimodules are generalization of corresponding results for projective modules.
Huda Mohammed J. Al-Thani
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Bi-Interior Ideals of Γ-Semirings
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of Γ-semiring and study the properties of bi-interior ideals of Γ-semiring.
Rao Marapureddy Murali Krishna +1 more
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Subdirect products of semirings
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 9, Page 539-545, 2001., 2001 Bandelt and Petrich (1982) proved that an inversive semiring S is a subdirect product of a distributive lattice and a ring if and only if S satisfies certain conditions. The aim of this paper is to obtain a generalized version of this result. The main purpose of this paper however, is to investigate, what new necessary and sufficient conditions need we
P. Mukhopadhyay
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Residuated Structures Derived from Commutative Idempotent Semirings
Discussiones Mathematicae - General Algebra and Applications, 2019 Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiring can be converted into a residuated lattice. It turns out that this is possible if the semiring in question is commutative, idempotent, G-simple and ...
Chajda Ivan, Länger Helmut
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International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 321-326, 1996., 1995 In this paper we characterize the class of semirings S for which the semirings of square matrices Mn(S) over S are (left) k‐artinian. Also an analogue of the Hilbert basis theorem for semirings is obtained.
T. K. Mukherjee, M. K. Sen, Shamik Ghosh
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THE GEOMETRY OF BLUEPRINTS PART II: TITS–WEYL MODELS OF ALGEBRAIC GROUPS
Forum of Mathematics, Sigma, 2018 This paper is dedicated to a problem raised by Jacquet Tits in 1956: the Weyl group of a Chevalley group should find an interpretation as a group over what is nowadays called $\mathbb{F}_{1}$, the field with one element.
OLIVER LORSCHEID
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Veterinary Dermatology, Volume 36, Issue 4, Page 443-452, August 2025.Background – Allergen immunotherapy is used as aetiological treatment for canine atopic dermatitis (cAD). Objective – To assess the anti‐inflammatory agent‐sparing effect over 1 year of immunotherapy using pullulan‐conjugated recombinant Der f 2 (rDf2‐P). Conclusions and Clinical Relevance – Der f 2‐P immunotherapy can lead to a rapid reduction in anti‐
Masahiko Nagata +7 more
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∗‐π‐Reversible ∗‐Semirings and Their Applications to Generalized Inverses
Journal of Mathematics, Volume 2024, Issue 1, 2024.We introduce and study a new class of ∗‐semirings which is called ∗‐π‐reversible ∗‐semirings. A ∗‐semiring R is said to be ∗‐π‐reversible if for any a, b ∈ R, ab = 0 implies there exist two positive integers m and n such that bman∗=0. Some characterizations and examples of this class of semirings are given. As applications, generalized inverses related
Yuanfan Zhuo, Qinqin Gu, Huadong Su
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